{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 用线性回归技术实现Ames 房价预测\n",
    "数据说明： Ames房价预测是Kaggle平台上的一个竞赛任务，需要根据房屋的特征来预测亚美尼亚州洛瓦市（Ames，Lowa）的房价。其中房屋的特征x共有79维，响应值y为每个房屋的销售价格（SalePrice）。评价标准为预测值的对数和观测值的对数的RMSE(Root-Mean-Squared-Error )。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#第一步导入必要工具包\n",
    "import numpy as np #用于矩阵操作\n",
    "import pandas as pd #用于读取文件以及sql操作\n",
    "\n",
    "from sklearn.metrics import r2_score #评价回归预测模型的性能\n",
    "import matplotlib.pyplot as plt  #画图\n",
    "import seaborn as sns\n",
    "\n",
    "# 图形出现在Notebook里而不是新窗口\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Id</th>\n",
       "      <th>MSSubClass</th>\n",
       "      <th>MSZoning</th>\n",
       "      <th>LotFrontage</th>\n",
       "      <th>LotArea</th>\n",
       "      <th>Street</th>\n",
       "      <th>Alley</th>\n",
       "      <th>LotShape</th>\n",
       "      <th>LandContour</th>\n",
       "      <th>Utilities</th>\n",
       "      <th>...</th>\n",
       "      <th>PoolArea</th>\n",
       "      <th>PoolQC</th>\n",
       "      <th>Fence</th>\n",
       "      <th>MiscFeature</th>\n",
       "      <th>MiscVal</th>\n",
       "      <th>MoSold</th>\n",
       "      <th>YrSold</th>\n",
       "      <th>SaleType</th>\n",
       "      <th>SaleCondition</th>\n",
       "      <th>SalePrice</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>65.0</td>\n",
       "      <td>8450</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>208500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>20</td>\n",
       "      <td>RL</td>\n",
       "      <td>80.0</td>\n",
       "      <td>9600</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>2007</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>181500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>68.0</td>\n",
       "      <td>11250</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>9</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>223500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>70</td>\n",
       "      <td>RL</td>\n",
       "      <td>60.0</td>\n",
       "      <td>9550</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>2006</td>\n",
       "      <td>WD</td>\n",
       "      <td>Abnorml</td>\n",
       "      <td>140000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>84.0</td>\n",
       "      <td>14260</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>12</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>250000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>6</td>\n",
       "      <td>50</td>\n",
       "      <td>RL</td>\n",
       "      <td>85.0</td>\n",
       "      <td>14115</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>MnPrv</td>\n",
       "      <td>Shed</td>\n",
       "      <td>700</td>\n",
       "      <td>10</td>\n",
       "      <td>2009</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>143000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>7</td>\n",
       "      <td>20</td>\n",
       "      <td>RL</td>\n",
       "      <td>75.0</td>\n",
       "      <td>10084</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "      <td>2007</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>307000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>8</td>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10382</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Shed</td>\n",
       "      <td>350</td>\n",
       "      <td>11</td>\n",
       "      <td>2009</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>200000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>9</td>\n",
       "      <td>50</td>\n",
       "      <td>RM</td>\n",
       "      <td>51.0</td>\n",
       "      <td>6120</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Abnorml</td>\n",
       "      <td>129900</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>10</td>\n",
       "      <td>190</td>\n",
       "      <td>RL</td>\n",
       "      <td>50.0</td>\n",
       "      <td>7420</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>118000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>11</td>\n",
       "      <td>20</td>\n",
       "      <td>RL</td>\n",
       "      <td>70.0</td>\n",
       "      <td>11200</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>129500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\n",
       "      <td>12</td>\n",
       "      <td>60</td>\n",
       "      <td>RL</td>\n",
       "      <td>85.0</td>\n",
       "      <td>11924</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>7</td>\n",
       "      <td>2006</td>\n",
       "      <td>New</td>\n",
       "      <td>Partial</td>\n",
       "      <td>345000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\n",
       "      <td>13</td>\n",
       "      <td>20</td>\n",
       "      <td>RL</td>\n",
       "      <td>NaN</td>\n",
       "      <td>12968</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR2</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>9</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>144000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\n",
       "      <td>14</td>\n",
       "      <td>20</td>\n",
       "      <td>RL</td>\n",
       "      <td>91.0</td>\n",
       "      <td>10652</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>8</td>\n",
       "      <td>2007</td>\n",
       "      <td>New</td>\n",
       "      <td>Partial</td>\n",
       "      <td>279500</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>14</th>\n",
       "      <td>15</td>\n",
       "      <td>20</td>\n",
       "      <td>RL</td>\n",
       "      <td>NaN</td>\n",
       "      <td>10920</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>GdWo</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>157000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>15</th>\n",
       "      <td>16</td>\n",
       "      <td>45</td>\n",
       "      <td>RM</td>\n",
       "      <td>51.0</td>\n",
       "      <td>6120</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>GdPrv</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>7</td>\n",
       "      <td>2007</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>132000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>16</th>\n",
       "      <td>17</td>\n",
       "      <td>20</td>\n",
       "      <td>RL</td>\n",
       "      <td>NaN</td>\n",
       "      <td>11241</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>IR1</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Shed</td>\n",
       "      <td>700</td>\n",
       "      <td>3</td>\n",
       "      <td>2010</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>149000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>17</th>\n",
       "      <td>18</td>\n",
       "      <td>90</td>\n",
       "      <td>RL</td>\n",
       "      <td>72.0</td>\n",
       "      <td>10791</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Shed</td>\n",
       "      <td>500</td>\n",
       "      <td>10</td>\n",
       "      <td>2006</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>90000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>18</th>\n",
       "      <td>19</td>\n",
       "      <td>20</td>\n",
       "      <td>RL</td>\n",
       "      <td>66.0</td>\n",
       "      <td>13695</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>6</td>\n",
       "      <td>2008</td>\n",
       "      <td>WD</td>\n",
       "      <td>Normal</td>\n",
       "      <td>159000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>19</th>\n",
       "      <td>20</td>\n",
       "      <td>20</td>\n",
       "      <td>RL</td>\n",
       "      <td>70.0</td>\n",
       "      <td>7560</td>\n",
       "      <td>Pave</td>\n",
       "      <td>NaN</td>\n",
       "      <td>Reg</td>\n",
       "      <td>Lvl</td>\n",
       "      <td>AllPub</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>MnPrv</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0</td>\n",
       "      <td>5</td>\n",
       "      <td>2009</td>\n",
       "      <td>COD</td>\n",
       "      <td>Abnorml</td>\n",
       "      <td>139000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>20 rows × 81 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "    Id  MSSubClass MSZoning  LotFrontage  LotArea Street Alley LotShape  \\\n",
       "0    1          60       RL         65.0     8450   Pave   NaN      Reg   \n",
       "1    2          20       RL         80.0     9600   Pave   NaN      Reg   \n",
       "2    3          60       RL         68.0    11250   Pave   NaN      IR1   \n",
       "3    4          70       RL         60.0     9550   Pave   NaN      IR1   \n",
       "4    5          60       RL         84.0    14260   Pave   NaN      IR1   \n",
       "5    6          50       RL         85.0    14115   Pave   NaN      IR1   \n",
       "6    7          20       RL         75.0    10084   Pave   NaN      Reg   \n",
       "7    8          60       RL          NaN    10382   Pave   NaN      IR1   \n",
       "8    9          50       RM         51.0     6120   Pave   NaN      Reg   \n",
       "9   10         190       RL         50.0     7420   Pave   NaN      Reg   \n",
       "10  11          20       RL         70.0    11200   Pave   NaN      Reg   \n",
       "11  12          60       RL         85.0    11924   Pave   NaN      IR1   \n",
       "12  13          20       RL          NaN    12968   Pave   NaN      IR2   \n",
       "13  14          20       RL         91.0    10652   Pave   NaN      IR1   \n",
       "14  15          20       RL          NaN    10920   Pave   NaN      IR1   \n",
       "15  16          45       RM         51.0     6120   Pave   NaN      Reg   \n",
       "16  17          20       RL          NaN    11241   Pave   NaN      IR1   \n",
       "17  18          90       RL         72.0    10791   Pave   NaN      Reg   \n",
       "18  19          20       RL         66.0    13695   Pave   NaN      Reg   \n",
       "19  20          20       RL         70.0     7560   Pave   NaN      Reg   \n",
       "\n",
       "   LandContour Utilities    ...     PoolArea PoolQC  Fence MiscFeature  \\\n",
       "0          Lvl    AllPub    ...            0    NaN    NaN         NaN   \n",
       "1          Lvl    AllPub    ...            0    NaN    NaN         NaN   \n",
       "2          Lvl    AllPub    ...            0    NaN    NaN         NaN   \n",
       "3          Lvl    AllPub    ...            0    NaN    NaN         NaN   \n",
       "4          Lvl    AllPub    ...            0    NaN    NaN         NaN   \n",
       "5          Lvl    AllPub    ...            0    NaN  MnPrv        Shed   \n",
       "6          Lvl    AllPub    ...            0    NaN    NaN         NaN   \n",
       "7          Lvl    AllPub    ...            0    NaN    NaN        Shed   \n",
       "8          Lvl    AllPub    ...            0    NaN    NaN         NaN   \n",
       "9          Lvl    AllPub    ...            0    NaN    NaN         NaN   \n",
       "10         Lvl    AllPub    ...            0    NaN    NaN         NaN   \n",
       "11         Lvl    AllPub    ...            0    NaN    NaN         NaN   \n",
       "12         Lvl    AllPub    ...            0    NaN    NaN         NaN   \n",
       "13         Lvl    AllPub    ...            0    NaN    NaN         NaN   \n",
       "14         Lvl    AllPub    ...            0    NaN   GdWo         NaN   \n",
       "15         Lvl    AllPub    ...            0    NaN  GdPrv         NaN   \n",
       "16         Lvl    AllPub    ...            0    NaN    NaN        Shed   \n",
       "17         Lvl    AllPub    ...            0    NaN    NaN        Shed   \n",
       "18         Lvl    AllPub    ...            0    NaN    NaN         NaN   \n",
       "19         Lvl    AllPub    ...            0    NaN  MnPrv         NaN   \n",
       "\n",
       "   MiscVal MoSold YrSold  SaleType  SaleCondition  SalePrice  \n",
       "0        0      2   2008        WD         Normal     208500  \n",
       "1        0      5   2007        WD         Normal     181500  \n",
       "2        0      9   2008        WD         Normal     223500  \n",
       "3        0      2   2006        WD        Abnorml     140000  \n",
       "4        0     12   2008        WD         Normal     250000  \n",
       "5      700     10   2009        WD         Normal     143000  \n",
       "6        0      8   2007        WD         Normal     307000  \n",
       "7      350     11   2009        WD         Normal     200000  \n",
       "8        0      4   2008        WD        Abnorml     129900  \n",
       "9        0      1   2008        WD         Normal     118000  \n",
       "10       0      2   2008        WD         Normal     129500  \n",
       "11       0      7   2006       New        Partial     345000  \n",
       "12       0      9   2008        WD         Normal     144000  \n",
       "13       0      8   2007       New        Partial     279500  \n",
       "14       0      5   2008        WD         Normal     157000  \n",
       "15       0      7   2007        WD         Normal     132000  \n",
       "16     700      3   2010        WD         Normal     149000  \n",
       "17     500     10   2006        WD         Normal      90000  \n",
       "18       0      6   2008        WD         Normal     159000  \n",
       "19       0      5   2009       COD        Abnorml     139000  \n",
       "\n",
       "[20 rows x 81 columns]"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train = pd.read_csv(\"./data/Ames_House_train.csv\")\n",
    "test = pd.read_csv(\"./data/Ames_House_test.csv\")\n",
    "train.head(20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# all_data = pd.concat((train.loc[:,\"MSSubClass\":\"SaleCondition\"],\n",
    "#                       test.loc[:,\"MSSubClass\":\"SaleCondition\"]))\n",
    "# all_data.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 进行数据探索分析"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['Id', 'MSSubClass', 'MSZoning', 'LotFrontage', 'LotArea', 'Street',\n",
       "       'Alley', 'LotShape', 'LandContour', 'Utilities', 'LotConfig',\n",
       "       'LandSlope', 'Neighborhood', 'Condition1', 'Condition2', 'BldgType',\n",
       "       'HouseStyle', 'OverallQual', 'OverallCond', 'YearBuilt', 'YearRemodAdd',\n",
       "       'RoofStyle', 'RoofMatl', 'Exterior1st', 'Exterior2nd', 'MasVnrType',\n",
       "       'MasVnrArea', 'ExterQual', 'ExterCond', 'Foundation', 'BsmtQual',\n",
       "       'BsmtCond', 'BsmtExposure', 'BsmtFinType1', 'BsmtFinSF1',\n",
       "       'BsmtFinType2', 'BsmtFinSF2', 'BsmtUnfSF', 'TotalBsmtSF', 'Heating',\n",
       "       'HeatingQC', 'CentralAir', 'Electrical', '1stFlrSF', '2ndFlrSF',\n",
       "       'LowQualFinSF', 'GrLivArea', 'BsmtFullBath', 'BsmtHalfBath', 'FullBath',\n",
       "       'HalfBath', 'BedroomAbvGr', 'KitchenAbvGr', 'KitchenQual',\n",
       "       'TotRmsAbvGrd', 'Functional', 'Fireplaces', 'FireplaceQu', 'GarageType',\n",
       "       'GarageYrBlt', 'GarageFinish', 'GarageCars', 'GarageArea', 'GarageQual',\n",
       "       'GarageCond', 'PavedDrive', 'WoodDeckSF', 'OpenPorchSF',\n",
       "       'EnclosedPorch', '3SsnPorch', 'ScreenPorch', 'PoolArea', 'PoolQC',\n",
       "       'Fence', 'MiscFeature', 'MiscVal', 'MoSold', 'YrSold', 'SaleType',\n",
       "       'SaleCondition', 'SalePrice'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 查看有些什么属性\n",
    "train.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1460, 81)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1459, 80)"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "通过属性的描述初步认为房价与它的以下几个属性比较相关：OverallQual、YearBuilt、TotalBsmtSF、GrLivArea"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 对单个属性进行直方图分析"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Tlyzgzztbeb2pI9HVMcaEkRnfSGnqQEc/M0syo7Uy5mMXzKMoN4sfPGetFmOS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\npKrOxjs1NQtvGHZEpFJE1rrmdifwc2B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      "text/plain": [
       "<matplotlib.figure.Figure at 0xbe9ba20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#第一步对我们最关系的房价进行直方图分析 因为它是因变量所以要第一时间关注\n",
    "sns.distplot(train.SalePrice)\n",
    "plt.xlabel('SalePrice value of owner-occupied homes', fontsize=12)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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wQXcsCXUUSjOdfdU9V7Hi7hWZEp2lqQeSPh/dOJpLXSb9kivxWprAPDZ5jKFL\nh5pO6tbMYJT2sqapLfw64lx/R24YaXlTpzBJL72/J0l1YRUR8dRWHVAr5FGFtCNxX9IeJnkG/G4k\nFcyrAsoasFiEcO527EYuQ7iIzAf+DrgR2AH8hKoeE5F3AR9T1feKyKPu76+LyDzgh8BZwG0Aqvrf\n3bUeBT7mLv0xVX2vK/+oK/sE8HxUHUltbMYQntf43WkDXJQxsa/S1+C9Bc0Z1DZ4C8dEWv2+eYx2\nWQ2Fad5TWRInphrUXYr0rN8xLndXmsNDu56nWKeGHN+rFaKeW9+Jo+hNjIrmk2d+MpcTQ+wYIsxQ\nCbZqxG5XOveshvBMNg23GtgNvBVvVfAvwEuq6vsTHgTOcX+fAzwD4Ab7GrDQlX8jcNngOc+Eyt/p\nzomrI9y+tcBagKGhoSxfqYEot8m+Sh86rTN0qXFudO3kyjuujIx7ABLjAIJEPahAJi+jVpe9eVwG\n42bHUXEyWQbapLqL1JkPrxpm24eic3elOTz4LtVFu9t2cyvhia0T7Nmyp5QCI0vMVB4nhqTkjX7A\nYvD6rbrQdjt2I5PQUNXjwNtE5HRgO/DTUYe531HKFE0oj1KRJR0f1b7NwGbwVhpRxyQRdxOAtiQh\ny0OSIXNi60RiHEDwGlE++POq8zIZ/TtpcMwaJ1OUn75/frNBdsH7E+e4kObwAO3JXponeLBoF864\nVCG7N+9m6NKhtr9DSSn70+JRkjyZwu9CWvJGaI+twRc8wRgof8fJdvdtLu8pVX1JRL4KXAKcLiLz\n3EpgEfCsO+wgcC5w0KmnBoHDgXKf4DlR5S8k1FE4SUFq3SLtAc/qRRF3XFbjv59/qxN9kTUwL8lb\npJngKcg/cwvfnyiBEXZ4SFKHFe0Bk/V7tSPbbtw97ERgXtL3yfLOJA3y/r0MxuakMTg0mPmZjIv5\n6dR9y0KqTUNEzgKmnMCoAn+NZ6BeA/ylqn5BRO4CvqOqd4jIrwPDqnqDiFwDrFTVD4jIBcCfA+8A\n3gyMAUvxVhT/DIwC/wp8G/gPqvqEiPxFVB1J7W01uC+rrrwTxAYO9Qs6ralbtOaNjj5RATOu7etM\nIdvgmuUliVOZpQbuBdoZ1s13cvvOtPsTp/pIHGw6ZG8I0g5by8fnfTzRXVz6ZUbyxyiaWQElfZ/a\ngVqqnSfu/OrCKre+cCsTWyd46PqHMrm8V+ZXuHDNhQ37y/jlUXa6pPQs7d5iOKtNI4vQ+LfAFqAf\nT5X0gKp+XETeAnwBWAD8PfAhVX1dRE4G7gPejrfCuEZVn3TXWgdcDxwDblHVXa78CmCTq+NuVd3o\nyiPrSGpvK0IjS6RxJ/cPzhNidbDHAAAgAElEQVSd3UDGaOjqwirHJo/NeJjnVedF6nTjjs/y8PdV\n+jjptJOYPDxZF8ZxLxI0CqY8kdVZX6RmhVrwmDRDc9L5eQ2t7aQdBvMsDhZp71LU4Nw/0M+Ku1ck\nvn9J3ycpV1hSxoFgW+Pu3Yzq+oWL117sTTpjhNDAqQOpz3nwesHJSOymaU3et8IM4ar6HTwBEC5/\nEm/VEC5/DXh/zLU2AhsjyncCO7PW0S6yJrnrVBBNUauEKCrzKyy7fRlwYoD24xLiHtyo8qzqsOmp\n6QabRFyk8Ni6sRmxGXEv8QxVQdwskkaVQ5ZlfZZjkgzNSecDvP5y9Nxn6RVLZ3ynZhJk5iHue1QX\nVOs5z+rPhhP6aXUPLk5/dtPepV0375oxmz9+9Di7bt6VXHfCfYnKexW286Sp9bIIDPBUceGJUZCw\nnS7L9fxjt63exsApAxx95Wjk92wnFhEeIKvBqh2GrahBIk0H3kDCLCpM0KBf9ztXtw9CEyubcH9k\n6p8Mg7tP0kucKQ8VXi4g3y6TRa+d5ZgkQ3PS+UdfORq5/wLgeRy530GBkydBZhRJq54478GjPz4x\n8w0OlFnqzvrsJj0reSYvaXVX5lfqq9uwR9eFay6c8T1a9XDy8fdWSVLVNYV6tsao7A3+xKNdWO6p\nAFkldNGSPC6QCGjYeS22PYsHWT+9ntGNo/FR0AF8j6uGeqHp9Cnh/milf/zBPUwwStwflDf0bWD7\nmu2ZhKpvgJ3YOpEpojZL6u6koLMk99qkQW/qyBS7P707cqUWnnVnzVmUFqgW9T1OOu2kRJ19Wt0N\n10ygHbPiuPuyd+feSI+uvTv31v/NEgUe3nMnDT2uM7JHFEVfpa/Rz1S9CUc7Mw1YltsArdo0ktz8\nklQNWTLUpgUPQQ4Dsrs2ZFsWJ5HXoNdAjCotrY/zfM8wad97cHFK6u6MNodEI3mRs84M+utmDKaZ\n7Gk5dOc7btrB+J0z38uRG+PjNuJsB9InqEY7GkSR1fkgyZYBjWrc1156reE+1m12MbbA119+PXZ1\nGT42fO1maMY2ZllumyA8O/Jn7f7vpPQFcbO5HTftmFH+4HUP5s5QG5k6wwVLxalckqgdqLWsZkvq\nj2CgYeWUSmSerpEbRpC+mSujpFlsq/tT1w7UEtOQxNlbgHr6iyyz0bh0EUWrKVpKGrm/FvsdslxX\n+iRzDq3gbD7I7s27Y89ddvsybyYdwvcczJKGZcZqOgL/uyYFlobzs0mf1NPDDC4e5Kp7rmLZ7csi\nn6vXXnwtk8Dw7YxRubby0s48VGbTCBEV7OVv3Zk0q4l74HZv3j1joMjyAEHji9ug1w/4cO/duTdR\n5ZJ27WZXGnEzmciVgMLbP/z2Ga7LQOTsE9qYlM1F6F645sJYr5bYGbYrz2JE95+HsK99XPR5GnFp\nY7ImjUyKWI7aFCzKwDrj1NCe4/75UWTdUCm8Kr/oVy+qPzdRK/I0Y3raJCPYh0mBpWGmp6YZOHWA\nW1+4dcZnwYBgcEIuBemXGROw8HWi2h7n6dhOY7gJDUdDZG/MwxmVyiItIKiVmWXYoBUl0PwXtrqg\nmstNNk9MRGV+JXO0dJzw3Ltzb6R7bCzqqSfCEfixA2COTZdq+2vs2bKH5ZuXx7stRjC4eDDVQB4V\n8BeccMSlGgkTdsfM6j01sXVixmDjr/Sy2iiinonKKRXmnTyPycOTTQ3eSYLLf7fCdQfv0/CqYU9l\nFkHcu5eY3oMTW/KmecPFEee0MbZu5pbRaehxZfua7Wz70LZ6uwZOHYi9jn8MNJ/NoFlMaJAtsheS\nU1nEDdqtELWkjxu05lXnRQ7ucW61/tariTNuTsyAMu8XkMGAnFQWZPLQJA9d/xBwQmDGefqEZ+Fp\n+INcViHkv4jbVifnl0oTKllcUf37ljdDwcTWCR687sEZK9mpV70VT3VhNdFDrra/Fjszn3/m/LrQ\nzzt4Q7o31eShSXbdvCu57zJuW1u3XyT4hEStlJdesTRy5Ttwaj7X1mZXww0utUmTC2FG2zuZh8ps\nGjSvJ/dnSFmDffISpXOOXUIfnmT55uUNnh2+XWF4lZdi3RdswdTce7bsYXTjKCM3Rtu/KlVPt5q0\nv4VPkm45bnOqNI4fPd5g32jG0yeOOPtGQ/r0kFdUWlrqNLVaVH19lb4G/XizwaNj68ZiVZ96XBk4\ndYD10+tjPeykXxJzY/k0u0fK8s3LE7370pIEpqUVz+oNGDcTj7O7HH31aOa9cyC+H+rfvYWdQaOu\nH/QsTHo/i8JWGrSmJy9CWEifxOs9QzrntNlWVALDA187EBtkNHVkqr4kPm/0vBn7Nh995WiqvjpL\nHp6oTK7N+vKHfejjZr6QrveNshX56rSoGVtaEsC0gL84W0czL3p4x8W0Z9Hvx7iVdKIqVWgI9Aur\nu/w4CP+YqBmv/3dWFZ2P/2z758dlds46+YsTyrHjgIKqeiu1Q5P1Z8SfzGR9Rvx68+StChMX1NrJ\nFEe20iBlZuBmfwOntmXTQMA9+Cmzj6kjU2xfsz1y2Z0WUBbl9x+mtr/Gwa8fjNytLsmbKYt3SrCO\n2PiABKIyiwa9l5J22PO/d9JM0V+Jhff4jvLMSYrNgPiVxJEXjrDtQ9vq/eTXk8XgHEXUjotp+IKr\nqZmum7z4dfmDqN8Hfn6ltE2LhlcNx8Y5VBdWM21QFDUxSrNf+AwuHowdWJNWSv4KrtVnpCF7QZ77\nEHGdbu0TbnEaZMuVdOSFI0y9mlOFlcM4mxt37eBMtelcVRnri/LJz7uBFUTrk+P08eFcQ3H3Ks2m\nEb6f4VlZu3JWVRdUOfrjo4ltC8elZNnvoRkvrJEbRxLtV3kJ9k1SLi1/QhNMApo171jW+5SJiA2R\ngjQbAxTltFB0jFF4RdqOJJOFJSzsNZoN7sv7oqfhZ7cMupmmJSTLS/gBaemFSiEuK2lTgipGAIU9\nf8LpTpKW9P7sNal/mw5mE2IHu2aFUVzb0iYwrTybiVlemyEQFJekcopSZYXfjayqlVYnRuv1xHMX\nJZwPfO1ArBt4VsLfLy2nW57rNniSFZxkstCd+2Y74Yfn6CutCYy4zZriomKbJayDHd04mltfPAOB\n/spM98y4fRCaSaoYpwaIy/eTZYY2eWgyNSCqtr82Y18Q/94nDkQaH/QXTsQY7qO8+czSkj22MvA0\nnSo/hmBQXBJR6U+iXLCz1tlKbJFPXELJqGBTAMS5nmfQNkwdmWp4VoqaKPoqaujuroxzXmhEPTyt\nUDmlEhnwA/HeGc0S5UWRFhCUijP6RRnnw774sUFgSWo5IdbrJI4sBk7fOJlGcFC/9+fv5amxp7I3\nJMMMN9xHWV2xfXtDu1aKfh25kmA60gILm3Ek8R0j8mbQbab9QD2Rn19nXKxJLArzTp6XXUXdJgWO\nP3mL26OjE1tRz3lDeB532+rCaqrRNuqh8g23rQwIaQZCv44iZjXTU9Ox3lz+AOEL23B90ieps/a8\npA1KedJz+IN6boGRA/8+T2ydiE2BHnVOq6vEyinxK61ggGHYSDty40jsuQOnDnDVPVex4u4Vscb/\npma30mhYD7qBpxl0gx5TsSuDEOe957wGQ31ee9Dg4kEvxqUE+Cu1JIeMdjLnVxpZZ0nBgKs0AVC0\nfcRP3xynA241iV8ekvL0QLaUCdtWb2uIfE0zACepJHxVYJ4VVm1/LVmAJ6WZz+jcsKFvQ2wiynYx\n435EOEtAtBpw78691F6d+X2nJtOfqdyz/5Q+jIsu33HTjhkqQun3khcmXW/l/StbzllWN+a3cSUo\n/cLJp5/M5OHJVFVY7UCtsPTteZnzQiN2A5oEj4gkQVM5pdLwAhWiz1R44oEnGtRe9dVLQpbcNJJi\nGOLwU5u0lAPKNdWfXW+/drsnbCT02eptHPjagcRdyl576TUOfO1A5hk9pGearS6oRqrdwgbOtBVV\nJwWGX2f4/6zeNElpcNL28gjHuiSRJSI+qj0TWydibUp+1tu4+oZXDcdG8mehurAamcKnaE4+/eT6\nO75pyaZIIe4TGQVvEeGdIW7Dkgs+cAGjG0c9oXLAS6/gL5mTluPzTp7Xlodq8tBkvf6wj3azg9O8\n6jx+4m0/kctf3LfLFGlwq69OIga98bvGoz/zDzmujN81njkJJJLeX8HNh+qn9TUG/a2fXp+qqiwD\nWYV7UqxL2l4eDYNWQkyTL8Cy7PkSHhS3r9ke/wwkrG6DQZfNEEzFE1btVRdWC90nI6j+SpyYxkXB\ndyheI1VoiMi5IvI3IvI9EXlCRG525QtE5DER2et+n+HKRUQ+JSL7ROQ7InJR4Fpr3PF7RWRNoPxi\nEZlw53xKRCSpjiKJM04/8cATsTdjdONo5MMycuNIW9KJ+PgvaatLbZ/JQ5OeXj+HzPFniUnpxQvF\nZaVNHGjyyEwlcbDvm9cXqUr0B6bgc9DsDmlZ9fC+MK8urJ4IiAudmrYhUJb05Ttu2tHUc1s7UIsc\ntOICFtMi0n2iBsWkc2LTovQJ21ZvY9OSTU3dqyg7QTBlx60v3MqKu1ek34MMQhIaBVuSkAvuNJiU\n66xdZFFPHQN+S1UfF5E3ALtF5DHgV4AxVf2EiNwG3Ab8NrAMWOp+3gncCbxTRBYA64ERvNd8t4g8\nrKovumPWAt/A2yv8cmCXu2ZUHYWRJx2yfzNGN47OWA73VfoYunQoMhV6mL5KH3pco2dICfpef8Bu\nZ678LNz78/dyeN/hVMHVV+nLvgJIoMjYAl+/H6fumj6W3l7f9fHk00/OVKf0e55owWy1adl1fVsN\n0DCLj1I9JNnY0tKX19U+zaD5UoJIn7Djph2J6kF/AN62elt9a9y05yw2LUpA0O/Zsic28WAUcQGo\nUZupBSPU87QvSNixJekZfeKBJ1JVpO0cI1JXGqr6A1V93P39Y+B7wDnACmCLO2wLcJX7ewVwr3p8\nAzhdRM4G3gs8pqqHnaB4DLjcfXaaqn5dvZH43tC1ouoojLzL1tqBGrtu3jVjMJyems4UpVtdWOWq\ne66K1cH6x8Sx46YdHfHFTuKpsadS9dL+92w1ORt496gIVVDDnigtCiE9rplm55X5FS5ee3GDmhO8\nzbMi+0a8FeutL9zKga8dYNvqbamqh6yrvqgZaGqMSoHocWX8zvHod8T1xeThRk+qImMc8qRsOfrK\n0YZ+jlMDRWXmzYz7zrGeTzH3ZfLQZL0dcbRzjMhl0xCRJcDbgW8Cb1LVH4AnWIA3usPOAZ4JnHbQ\nlSWVH4woJ6GOwsirZknyu89qW0jKlgpw7LX4mcv4neNt3zi+urCaeUkdxcCpA3VPs1YfXn+gb8b/\nPC57bFL+Jf/4QhBY9K5FM3IybfvQNp544AlGbhiZOUFQb4/nKE8hiB7443acjCI8A+32qrWOhn53\nmclDkzx43YN88sxPxu5FP3VkquWYqCh23LSjJcN9afbTEJFTgb8EblHVl53ZIfLQiDJtojwzIrIW\nT73F0NBQnlNzZd4sQofvG7Rj3RQ1OtYjyOOfebzldiTR6uzu6CtH6/tgJC2zsxDU3+Zxq41T5SQa\nVcXbYrTlqHofJTYWZPLQJHu27GmIOfCZOjKVmDnAtyWE8zn5M+lE/X+fNETFFxkhPtsIRuK30xMu\nqDoE4rcbTkMoj/eUiFTwBMZWVfXfqB851RLu93Ou/CBwbuD0RcCzKeWLIsqT6mhAVTer6oiqjpx1\n1llZvlID/uY4UQQz3S7fvLyQAB/fBz1tf4E48toJEg11/cmG4Wbx98FoVRX0xANPNAYuZuguP033\n2LqxBiNwqlFVPV16K6usPDQ9U3W2hODqZfzO8UzX8iOKfdXL6MbR4lZWRtP4K8hW1IWdSo+emrDQ\neTJtAQ6r6i2B8j8EDgWM1AtU9VYRuRL4DeAKPEP4p1T1Hc4QvhvwvakeBy5W1cMi8m3gI3hqr53A\n/1DVnXF1JLW32Sy3UbPYdiYdTNxDo0CqC6u89tJriTMlP/ip8Bmnyyra7L7YPuEdCZsh0flgDhI0\nzttKoyT4wruFRzScMTlX9UVluRWRnwX+FpgA/Cnu7+AN8A8AQ8AB4P1OAAjwJ3geUEeA61R13F3r\nencuwEZVvceVjwCfA6p4XlMfUVUVkYVRdSS1N6/QiIumri6scsEHLojdvMjIQDtTw3eAtCBAaG6r\nWcOIwl/xtyrEqwursfnvkrDU6BlJyksPrd9Ao4dxK6WkKOBOrRiNWY571qCYqPOV98fvGxLbhIxC\nY85HhCft6VwazxKjbVTmV2JtPr6zRzAKOJzYzwSGUQQjN4zUU7Jk2c0yjXYG9815oRHnEjo4NNjx\neIjzRs+jr1K+WxLcuGY2If3C8s3LWXb7ssh+12mte4Hd8vQtjNwwkn/3RsPIwO7Nu9kgntMGeM9b\nKw4KXQ3um+1ExWn4fs7tjocI89TYU4VEUBdJL+RXahZ/J8LhVcOxOYR8L7CWIqfBPJSMRIKR+9tW\nb2ODbMiebiaCdk5453yW24YMnS6V+bHXjhXnq99hBhcXuK2s2zBpYuvErNTdB3W+aWmoW46c7sGu\ny5N2wzhB5ZRKZJLHzPj5O5v0OGx3cN+cX2nAiSRkK+9byesvv97TKojagRoXfOCCYi6m1FNZFCEw\nVt6/sjdn3Dr3HCIqp1R4313v60xSylnGvJPnFepNJ30SaU+Lorqw2vbNmOa891SQVnfXKwNFen1V\nF1a9YMYCkwV2rH9T3H39F7DoCcLg4kFePvhy5/fSKJC+Sh/9A/09PXlqhurCKq+//HrpVMTg2RWz\njE9Z90+JwrynmmA2eEsdfeVoIQNzfYaZY+yrnFJh5Mb4Z662v9a5lUZKCvSpV6faMijW9td6WmCA\nl+l3rgkMxEvtctJpJ2Wa0XeDLONTbX+trXtpgAmNOu3u6E6RNdVGGnl39AMvvcnQpUPJaUviso0V\njD/jWnn/SvoGOviYS/oeF6WnzDKvXc+O+86ThyaZenXK22DppOI2WGqF6sJq3a6YhYeuf6it45mp\np/AExkPXP1R4VG99z982bsxUNgYXD2ba/8I/rtP7aBuzgB7PNNAJmokKN/VUDnbdvKtwgVGZX+Hq\nLVd726nOIfwcXWksvWIp66fXc/WWqzvQKqObFK7uMYGRSjsnqiY0aE8HTx2ZYtfNu2JTY2ehr9LX\nsYyrRRHc0SyJ8bvG6ym6C1Pn9FZXnaBX252B/oF+ln96edfq97NUG8VhQqONtCqMpqeme0t1I54h\nftvqben6V4Xta7azoW8DQGxwXS56qKsa6NV2Z8APjuwGfZU+rt5yNeun1/e+nSkn7fy+JjSYBYbL\nsqDUt+rMEtehx7V+zvFjliV2tlI7UOvKOxbcKK6w2KUewd9fvh2Y0KC9HWxkpHyu8XOXgtU5g0OD\nsfm92kkwBcyeLXs6Wnc3qS6sdn/nvtlOu3e6mg0MnDrQ7SYYnaANnkmv/PAVtn1oG9NT03W15eDi\nQc4bPa/YiiLw92SfK3viVOZX2j4JNqHhaCU52FxAp3VOC47ZnLixgTbYV46/fkL16Ksta/trHN53\nuCOCYy7R7hQiYEKjzrzqnM/dmMjUkanSBDt1Gj9QcOTGkcJUN9WFVUZuHJnTuZ1q+2s89ZXmvQuN\nmXRCa2JCw5G0fDVDucdcClL0qcyvsPSKpXzyzE8yfud4YTPxCz5wAVfecSXLNy/vObfqQpnFnmMd\nRzqT2cKEhiMuIK26sMqxyWMdbk3BpI1JWcesOTa2DS4e5MI1F7Jny57CBWYwTqUIt+rBxYOsvH9l\nfYfBvJRJPTu4eLDcq9rydFUj2t4d+3xShYaI3C0iz4nIdwNlC0TkMRHZ636f4cpFRD4lIvtE5Dsi\nclHgnDXu+L0isiZQfrGITLhzPiXOTy6ujnYRtxkTJK9CeoGRG0bqg8ng4kFGbgz9f0MGNckcS93g\n70mwd+fe9tx/94IXNTOs7ff2/BjdOMr66fw7Leq0lkNVJt6udV21n0l83JD/vpSVTiRdzbLS+Bxw\neajsNmBMVZcCY+5/gGXAUvezFrgTPAEArAfeCbwDWB8QAne6Y/3zLk+poy007M3rBtPlm5d7qcF7\nGaG+49zK+1Zyy9O3cOUdV3LL07ewfnp9/f/wdw8LliSBsfL+lYU3u7qw2tVBbOrIlLcxVxtTufue\nPUVe75G1jzCxdSK3StV/3sPPQNbrSL8Uki7EX/F39b1TIuOG/InElXdc2YVGefgR7nEqzU5sUZ0p\nYaGILAG+rKo/4/7/PvBuVf2BiJwNfFVVf0pEPu3+/nzwOP9HVX/NlX8a+Kr7+RtV/Teu/IP+cXF1\npLW1lf00opgNe2z4VOZXmvKumNg6wbbV2yIFh28k3iAbCmqlN8tbcfcKwMsLVpRqaHCxl+Lkwese\nLOWeCUWR+3uKN6GIey4mtk4kC1B3fhECsHJKhXkn58+w3Cn85z12XGjzinzl/d59mtg6MeP+9lX6\nuOqeq5o2hmdNWNisy9CbVPUHAG5Qf6MrPwd4JnDcQVeWVH4wojypjhmIyFq81QpDQ0NNfqUT1F8S\nt/1r/0B/4QkN207Ew+vPnuHE9raDQ4MsvWIpe3furf8/unG0/uBNbJ1g+5rt0S+C2w42jb5KHyKS\nuQ/7Kn0nBqmC9Mf9A/0N3yv4/QvbHrck1A7U6t8z00Ae0IVHDTj+Puob+jZEPwdN6tIrp1Q81V/g\nmkn7nKRtDlU5pQLaXnWyr/4Z3TjKI2sfaairMr/ChWsu9N6lNkw0w3anYMR71P/tomg/06hWx+2g\nkFSeC1XdDGwGb6WR9/wgE1snGh6GyUOT9FX66rvYFT3ItE0gxfSCr8Lwv19tf83zCgp8/uB1D56Y\n4SfNnPTEIBO3K5/0C1fdcxUAj/zaI5k295l6dYraq7XE7xFH1I581YVVlt2+rN5WfxD0Cd/zZmjX\nHur+qgG8XF1ZjOa+imJ41XDqCsHvX/+58M+Lu27ctZoZJPNs9OT3w9i6sRPPRoh5J89j2e3LMqkV\npb+5lPzBvoXGyUdwUpKooWhyNaLTWr9HY+vGZowbx48eZ9fNu9rudtus0PiRiJwdUB0958oPAucG\njlsEPOvK3x0q/6orXxRxfFIdbWVs3diMwWN6aprXXnqt/v8FH7iAPVv2FDKjmT4+XRdI1QWe/jhq\nsO6r9HHSaSe1LKykX1LbPT01faKehIc7GPC29Iqlnu0kcHxQHTaxdaLtDgWV+RWWfzq/+i08ADT7\nQkcxuNhbyQUFcxphIeezbXX6qsHXu/vEzYijNtnyV6Jx/dc11Z4zjkNyH0wenkxfFRHY8yWBqNVx\nuG/Dkw+fia0THH3l6Ixy/30AEgWb9AkX/9rF7N68e4Zgq9vaYto/eWiy7pXXLpp1uX0Y8D2g1gAP\nBcqvdV5UlwA1p2J6FLhMRM5wBvDLgEfdZz8WkUuc19S1oWtF1dFW4m6Gn1yvtr/Gni17uHDNhYXE\nb/gPxeDQIJOHJxk4dYCV969k5X0rG4ySV91zFbe+cCsr71/ZtIG4Mr9SXNbcgGqqnttHGz+/cM2F\nDQNyu72vguq3OCa2TrBpySY29G1g05JNde+l4VXD3k5/9xVo1HeD3ZV3XJkpory6sMrK+1dy6wu3\nRr70cUZO3zjqG7OD5+Z18Kjtr0X2j3+tk047KfV7FI0/mYJkQ6+I1Nsbe5x7boPXDOO/byvuXjGj\n39IGY3/VGhbIA6cO1M/3n7U41atOK0OXDsVORNL2rGm3223qSkNEPo+3SjhTRA7ieUF9AnhARD4M\nHADe7w7fCVwB7AOOANcBqOphEfk94NvuuI+r6mH39414HlpVYJf7IaGOtpK0BPeZOjLFEw88UVj8\nxuShyfpD5qsJlm9eHrlBfHhWXJlfybzMn1ed19Q2rpEEVFO7bt41cxWhsHfn3vq/qeoLIbPqr7qw\nGntM0gwyrIby+/rA1w7UbTpFxisEX+yoGb9P3MoiTNyqIW0wi5oRJ810/fIolVW3vQmTVjs6rTx0\n/UP142b0t3ju58Orhtl1864Z54N3L4LvXd4Ze5SmAuDoqzNXHkljzdi6sdjPfVVYnL2q3W63qSsN\nVf2gqp6tqhVVXaSqn1XVQ6o6qqpL3e/D7lhV1V9X1Z9U1WFVHQ9c525Vfav7uSdQPq6qP+PO+Q11\n7lxxdbSbqHiNKCYPTbZN3ZI2Y/ZnKuun1/M7r/xO5vQWk4cmef3l1wvZu8KfOU9sncg0gKdFPfvu\nv8tuX5bY//42lnEz97QZWPieTR2ZYvyuce/lVApbiUWpMsIz/pX3r2S9ro9dWYSJWzU0o4oY3Tia\nKets+FnshEtnmKCgGl41zFX3XBUr3P3MtpH9fd/KurtsnPBrVSjGDtgRzgJJTiS1A7XY2DHfdhKn\n6Wj3PbKESyEaZvIFekBUF1Z5/eXXM+uD88wWrrzjSoYuHcrkKTM95dlQBk4daH6P7oBqKkm4SZ9k\ninoOCoDg6iUsjIIZPONm3WkvYiRNGNunp6Yb9N11m5NzlggaRX3idOB5yHONoBdguE3+bDvLqjPY\nb0krplaJcyYID4LDq4YTbRt+e5P6KmkWn0RSn4KnSsu6Ck66B4NDg6nG9mW3L8v9DhSBCY0I/JsS\n93LEGRKBSM+I4GAXfEj8mULcQ5O3zVkF3eThyfqm87k9hwJLfEgWbnr8hLdHnHcV4hnRNy3Z1PBi\n3PrCramDHsS/UFFkUT0m4Xvw+Ib9PHV3mjhVHORXNQWfxah+X3rFUh7/zOMzJkS+EMjiWea7q4Yd\nTOIGwaR7meXdaWbSkaVPk4hqV9rAH+XpF3xX6i6+HXwOMwX39RJFBffFucxJv3D1lquBmUJlhndE\nhhsZNWi3EoSXxbvFD1AKnhceBKK8w8K6dz+GI8tKpbqwytEfH210ExQ47z3ncfDrBwv5/mlECsgM\n7o9ZbQ5lIu75Dd77LIGrWe9FkhCN6ve4lVk4RgqIXL3FPet+YGiWe5VX8Gfp0ySvLT8wL8yOm3bU\nPaWkX7h47cWRUedFjvVgGEcAAAiESURBVBVRtDu4b9YT60U1rQ03KG0mnEYzM+a0ayWpHaJmU1HL\n+KFLhxLb5D/AWVVbUfEuvt99lJ0hyfWzWeJmyWnusJOHJjPPKNu1Asl73bjnN03VlEXNFkWSKijP\nM+5fJ21WH/Ws5xXuedWFWfo0bgUUt5ue73nov0d6XNmzZQ9Dlw5FOi906l1JwlYaMWSZVfQC7RrE\nmk2vEu6/2JmZ0FTivWb45JmfzKTbT7v3cSuZkRtGWspX1MwMM+vzW1Y1Wxnfvyxt2nHTjthJSFC9\nmeeaPu1+V2yl0SLN6DzLSBHG1yiadesLn9esQbJIovTKUaR950h3S/USRkbNHLPSzAwz6/Pbruej\nVbLM6jtNlj4NupmHibKB5PmeZXhXwPbTiKVI98bZSNL+I0mBbOHzktwKO0X4XjebQTSPu2UemhlA\ne/35jevrbrj8+mTp0zShltWFOaq8DO8K2EojkbLOwspA3KzL1ynHqVSiZrpQjE2nFYL3OmvbwyTm\nZmphhtzsDLOXn9+yrvTT+jSLh16aXSnue5blXTGhkUBZ9b1lIO0Bbsb42QztuEfNvpyjG0fjU8i3\nMEMuywDayfehLANkXrLEsaS5MCd9zzJMBMwQHkO73duMbOR15ez2Pdpx047ExI3N0m2vrDL2dVlp\n2H8k5NJd5j7Lagg3oRFDGb035hppA1VZ71GvrFDzCIKy9nXZ6ZVnAcx7qmXK6L0x10jzGirrPSqD\nCiELebyyytrXZadXnoU8mPdUDGX03phrpA1Udo9aI6+7ZxTW13MPExoxlMW9bS6TNlDZPWqNXnT3\nNLqPCY0Yet3PfTaQNlDZPWqNPILA+trwMUO4UWp6yZDYi1j/Gj7mPWUYhmFkJqvQMPWUYRiGkZnS\nCw0RuVxEvi8i+0Tktm63xzAMYy5TaqEhIv3AnwLLgPOBD4rI+d1tlWEYxtyl1EIDeAewT1WfVNWj\nwBeAFV1uk2EYxpyl7ELjHOCZwP8HXVkDIrJWRMZFZPz555/vWOMMwzDmGmVPIxK1scEMdy9V3Qxs\nBhCR50Vkf5P1nQm80OS5naQX2tkLbQRrZ9H0Qjt7oY3Q+XYuznJQ2YXGQeDcwP+LgGeTTlDVs5qt\nTETGs7icdZteaGcvtBGsnUXTC+3shTZCedtZdvXUt4GlInKeiAwA1wAPd7lNhmEYc5ZSrzRU9ZiI\n/AbwKNAP3K2qT3S5WYZhGHOWUgsNAFXdCezsUHWbO1RPq/RCO3uhjWDtLJpeaGcvtBFK2s5Zl0bE\nMAzDaB9lt2kYhmEYJcKEhmEYhpEZExqOsuS4EpFzReRvROR7IvKEiNzsyheIyGMistf9PsOVi4h8\nyrX7OyJyUYfb2y8ify8iX3b/nyci33Tt/KLzekNETnL/73OfL+lgG08XkS+JyD+5fn1X2fpTRP6T\nu9/fFZHPi8jJZehLEblbRJ4Tke8GynL3nYisccfvFZE1HWrnH7p7/h0R2S4ipwc++6hr5/dF5L2B\n8raOA1HtDHz2n0VEReRM93/X+jMRVZ3zP3ieWf8CvAUYAPYA53epLWcDF7m/3wD8M17erU8Ct7ny\n24A/cH9fAezCC4S8BPhmh9v7m8CfA192/z8AXOP+vgu40f19E3CX+/sa4IsdbOMW4Ffd3wPA6WXq\nT7wsB08B1UAf/koZ+hL4OeAi4LuBslx9BywAnnS/z3B/n9GBdl4GzHN//0Ggnee7d/wk4Dz37vd3\nYhyIaqcrPxfPS3Q/cGa3+zPxO3SqojL/AO8CHg38/1Hgo91ul2vLQ8AvAN8HznZlZwPfd39/Gvhg\n4Pj6cR1o2yJgDHgP8GX3cL8QeFHr/epeiHe5v+e546QDbTzNDcgSKi9Nf3IiXc4C1zdfBt5blr4E\nloQG41x9B3wQ+HSgvOG4drUz9NnVwFb3d8P77fdnp8aBqHYCXwIuBJ7mhNDoan/G/Zh6yiNTjqtO\n49QObwe+CbxJVX8A4H6/0R3WzbZvAm4Fpt3/C4GXVPVYRFvq7XSf19zx7eYtwPPAPU6N9hkROYUS\n9aeq/ivw/wAHgB/g9c1uyteXPnn7rgzv1/V4s3YS2tOVdorILwL/qqp7Qh+Vqp0+JjQ8MuW46iQi\ncirwl8Atqvpy0qERZW1vu4i8D3hOVXdnbEu3+ngenjrgTlV9O/Aqnkoljo6309kEVuCpSt4MnIK3\nHUBcO0r3vDri2tXV9orIOuAYsNUvimlPN+79fGAd8F+jPo5pT1f704SGR+4cV+1ERCp4AmOrqm5z\nxT8SkbPd52cDz7nybrX9UuAXReRpvJT178FbeZwuIn7QaLAt9Xa6zweBwx1o50HgoKp+0/3/JTwh\nUqb+/HngKVV9XlWngG3A/0n5+tInb9917f1yRuL3AavU6XJK1s6fxJss7HHv0iLgcRH5iZK1s44J\nDY/S5LgSEQE+C3xPVf8o8NHDgO8lsQbP1uGXX+s8LS4Bar7qoJ2o6kdVdZGqLsHrr6+o6irgb4Bf\nimmn3/5fcse3fXakqj8EnhGRn3JFo8A/Uq7+PABcIiLz3f3321iqvgyQt+8eBS4TkTPcquoyV9ZW\nRORy4LeBX1TVI6H2X+O80M4DlgLfogvjgKpOqOobVXWJe5cO4jnC/JCS9Wew0fajdU+Ff8bznljX\nxXb8LN5S8zvAP7ifK/B01mPAXvd7gTte8HY3/BdgAhjpQpvfzQnvqbfgvYD7gL8ATnLlJ7v/97nP\n39LB9r0NGHd9+iCex0mp+hPYAPwT8F3gPjzPnq73JfB5PDvLFN6A9uFm+g7PprDP/VzXoXbuw9P9\n++/RXYHj17l2fh9YFihv6zgQ1c7Q509zwhDetf5M+rE0IoZhGEZmTD1lGIZhZMaEhmEYhpEZExqG\nYRhGZkxoGIZhGJkxoWEYhmFkxoSGYRiGkRkTGoZhGEZm/n+e2iYQlTlAtgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc084160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 单个特征散点图\n",
    "plt.scatter(range(train.shape[0]), train[\"SalePrice\"].values,color='purple')\n",
    "plt.title(\"Distribution of Price\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 接下来对我觉得相关性比较强的几个属性进行直方图分析"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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sS4FruBpbOGcKnaNG3q241DN0SAWrwyZ0dxVs10h6WJdyzXJKNr/93WDRQaqV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\nzjmXuf8LCMitFD/2XJQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc6e7dd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#scatter plot GrLivArea/saleprice\n",
    "plt.scatter(train.GrLivArea, train.SalePrice)\n",
    "plt.title(\"Looking for GrLivArea\")\n",
    "plt.xlabel(\"GrLivArea\")\n",
    "plt.ylabel(\"SalePrice\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 可以看出有几个点是属于离心点 ，这对我们的模型会有影响要去除我们待会处理"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cd1j/PhuTyie6fdKdI/n6ZgIzAUaOHJnfTZawXGfP+yd0+vts3tq+l+8vDe6H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\ncBZsjDHGFJwFG2OMMQX3/wNMGk22t7pUbgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7a7c828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#scatter plot totalbsmtsf/saleprice\n",
    "data = pd.concat([train['SalePrice'], train['TotalBsmtSF']], axis=1)\n",
    "data.plot.scatter(x=\"TotalBsmtSF\", y='SalePrice', ylim=(0,800000));\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "相关性更强，成指数形态，但是有些数据是为0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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y9u9cEHs/9/3i9qKflztBYFeoIDBtSmPJxxSrIFDt6mFkUgmZTIbe3t5ERjWg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\nSUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc712c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#scatter plot OverallQual/saleprice\n",
    "data = pd.concat([train['SalePrice'], train['OverallQual']], axis=1)\n",
    "fig = sns.boxplot(x='OverallQual', y=\"SalePrice\", data=data)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "同样的也是成线性相关"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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jCnUDn0+6h+7WDi5sW1OWbK0qiJS8VFu6BL8/okK1OC8zl/MwXMho3X6ueWad\nffv2lXVxbrYoFF7RD4pdFJrpZZcpKJ544onUvXUcCI4ePZrm5BCLnSn6/PxyQWs3//mqe1jX/CYS\niURJvc/8ajvdKzfQvXKD5/du/HrKDYwcZ2DkeMFjLhQVREpeqi1dgttBwetHNB8tLp+Zq9i3/EI0\nND/XvFy5dbxwCwenzXe/+91Zox+UI46fIyiuuuqqtHu7atUqurq62LFjR+r+AIRCK+Z9fn4Yig7w\nhe/fQjyR7jFXX19f0kXw81n06ofu1jDdrd7aTSgUor7R2kKhUMn6zYYKIiUv1Rh7q7HD2rwoVIvz\nY+Yq9i2/EA3NT5y1SuXWcbfZ39+fNk539INCNYx8AtMRFE888UTavXUcE9z3R0RYtix7/MhS0NXV\nRUOonpnAFI2N5X1IA3S3XEB3ywUFH+fWpvr6+goyxzkegl1dXWUxx7lRQaTkpZSxtxbK+65QLc6P\nmauYt/xCNbSrrroqb5w1v7l19u/fX9L5Pfe5DA0NpY3TfZ0L1TD8CszMe3v69OlUf879aW1tpaam\nbIFj0pIzdnUVFhmh3Li97w4dOpTSpo4fP17xhateqCBS8lJKM4ufh00phFWhWpxfwTXfeYRCNbR9\n+/Z5ahqFxETbu3dv6rymp6dLohW5z8VNodpyf38/u3btoq+vryBBnXlvV65cmfrOuT/FpOJe7Li9\n72KxGN0r19G90krJ1t26ju7W6kvPpoJoEbBQwQydB0O2vkqRLsHvw6YUpqRCtTi/gmu+0boL1dAO\nHjzoqWlkxkTLdV+effbZtHaeeeaZgsad7aXAfS5u3NfZLWRyEYvFGBsbK0hQZ95bt9Bx7k8xqbgz\nKeT353bl3rVrFy+++GLOLK7xeJyhs0cZOnt0TnSGfOGEcjntdK9cT/fK9b7OLx6PMzR2kqGxk0xM\nTDA0doqhsVMLmkFABdEioJj884USi8Wy9lWKdAl+HjalchUvVIsrt/mxUA2tp6eHmpoaAGpqajwX\nkHrFRHPI1AwK1RSyvRRknouzmDPzOjtCxgvHvBUOh30JaufB/PDDD6fd21IKnWwU8vuLJyYRY7ly\njwyPYGagNlHHC8+/yMjISEpwlKLfaogRVypUEC0CFioVhdvuXY6+/Dxs/AirSCTCZBQmo+SM8VWI\nFtfW1sZ73vMeAK644oqSmx8LFXS9vb1pmky+BaReZEYYKCTigNdLQea5bNiwgaamprRzcgsZP/gR\n1O4H80ImNCz09/fm1m7u3H4PdcF63rKymy//9p9SV1OLmAB1iTpi47NCo76+ns7lG+hcvmFOdAan\n31zXsHvlm+heWVyG2Pr6ejp4sxxVAAAgAElEQVSbV9PZvJrGxkY6m1fR2byq7A4KblQQKQuGn4dN\nKV3FK5H0zuvhXap5tkKvT+Y1/u3f/m3ffbmF3vT0NH/wB39AX1/fnHNpbGykq6urqOvsR1C7BUK+\nexuJRIhGh3j08S8QjQ6VxczkOAX4XhDa0s3d7/1T6oOlT7MQj8cZOvMGQ2feKDgAqx8ikQhDY1GG\nxqJluZYqiM5TSu29lmt+ycHPw8aPsAqHwzS0QUMbJYnxBdb1+NGPfgTAD3/4w3lfl1waS763ePe8\nyt69e9OuldNOoSa+3t7eNKeHQjQIt9AzxjA5OZkytWU7F7/zQtkox7qjUpOZWmJ6errs62sycXvE\nLaUs0CqIzlPKsbbEa37Jwc/DZiHTNLspVfSIXBqLHw3NmVfxamc+18ctiAohU+i1tbWlzDVe55Jv\nXigXhZjb8r1IhcNh2to62XnNZ2lr6yyJmWlwcJDJWJyapBXKp7Ozk4ceeqgsJiwvgZPpEedQX19P\n54q1dK6wUjkMnTnO0JnjJdOOwuEwnc1tdDa3aYgfpTSUI3ac3/mlfA+bSr0Zl8okWMziX/e8ilc7\nmdfHGJPzgeylWfkhU5vK5+hQ6LxQJtmEm5fHWjmD8Dqa3fXXXz/Ha+1Nbd18auefsbaluHmZfHgJ\nHIDulZ10r8yf2mIxoYKoyilHVF2vt/+FSAToRytYyIloh/kIkGxv5aXS6HK1474++R7IxUbBdoRP\nR0dH2b3TspHNcyzzRWp6erroftzC5/HHH+f0yCiJKcPpkdEF80izXLmPMXT2GPF4nO6WN9Pd8mbf\nxw+cPsrA6aO2drSGzhVrSma6LjdlE0QiskFEnhORX4jICyLyx3Z5q4g8LSIv239X2uUiIveIyICI\nHBGRX3e1dZNd/2URuclV/nYRed4+5h6xX9+8+liMWOaAcSZLmPjN6+FkZbUcJzaPvkopxObrZFBM\nPpf5CJBsQqBUGl2udpzrY4zJq9kWo6FFo7MT05FIJO2Bv1ARMrJ5rGW+SBWaeygbg4ODKeGTSCRY\n376RT/7eX9JYvzy1LqhSyTEtAfU6Q2df9zS1WXHhGqhvbCjbvNXAyAkGRk6Upe1yakQJ4FZjzNuA\ny4EPi8jFwO3As8aYjcCz9meAK4GN9nYz0A+WUAE+B7wTeAfwOZdg6bfrOsftsMu9+liUdLYKna2F\n2fdzkevh1NFubYXiJcT8ODHMh4kT1uYmFovNO1troQIkl3mzVBpdvnb8zGsVo6Hdd999aVlRjx+f\njcJcyfxUXiF+IP8i0Ezc9det2situ/6S+trG1PdTiThCgECyjomJ7JpRJBLh9dEh/vxHdxJPxDk1\nnvthPTUzxdDZIYbOpqcYt1y519O53FqI6mhHMzMzec/DKy6c5U13gqEzJ4qaL+rq6koFQC1HSKOy\nCSJjzBvGmH+y988CvwDWATuBB+1qDwLX2fs7gT3G4idAi4isBbYDTxtjRowxp4GngR32dyuMMT82\n1q9lT0Zb2fpQKJ9DQFu7tWWSz4mhULq6umgKNdEUaprz9hdcY23zoRABkksIlMptPF87Tz31VF6z\nWzEa2nPPPZf22Xngl8M0Vgi5QvwUuvjbT/0N7d38v9f/GXVlcLv2Q01NDZ3L19G5fF3FTG3lXmO4\nIHNEInIB8K+BfwA6jDFvgCWsAGcGdB1w1HXYMbssV/mxLOXk6KPsDIycZWDk7EJ1l5dsk72FPpyK\n0WrK8Q/sbrOUHjyFCJBqSI2xYcNs7plcZrf5amheXnbFmMaKcfF2yBXix88iUDeF1vdqY11LJx95\nzx3UB+tZ1ZQjLDxQV1NH5/JOOpd7pxh3a0deddxrhzI1wIHTxxg4fcyeL+qgc0VHWjvusD7lWHdU\nKGUXRCKyDPg74KPGmFyZqrL915t5lBcytptF5LCIHD51am42x0gkwtDoKEOjo75U/a6uLupDjdSH\nGqsmIq/XG1+hD6dSazWLnWpIjXHXXXelhEUuzXa+Gtp73/vetM+O5pHLNOaHYly8wTqfhoYGANat\nW7dgThSJmSneGB3i3me/yBujhS2SnZqZ4rWzQ3z1H+8inohzItOuXEIsM1ph80UDI28wMPLGnP2F\nonxx0gERqcUSQnuNMf/DLj4hImuNMW/Y5jXndeoY4E4vuB6I2OXvzSj/gV2+Pkv9XH2kYYy5F7gX\nYPPmzQUJsWw4+T6c/WrAedPLHI/zcPKD13n19/dz6NCh1Gc5j3wwe3t7OXDgAFD+9U7OdW5ubp6j\n2a5cuZKRkZGSubq7+/riF7/IwYMHSSaTBAIB1qyxbJ49PT088cQTGGMQkTTTmJ/xz2fS333cbbfd\nRjweJxAIcNFFF/H6668XfqI5SMxMcfz0EA8e+CJTiUmiZ8snNAolHo8zFJ8VgM66obrw8lSZ+/cK\nMHVs1HXs7Ll0Nlua5LDMvmSuWbMmNRfY1dW1YA4a5fSaE+A+4BfGmD9xffUY4Hi+3QQ86iq/0fae\nuxwYs81q+4FtIrLSdlLYBuy3vzsrIpfbfd2Y0Va2PgoiHA7T2dJCZ0vLgsZdqmbcZrojR45UXFOK\nRCJMDcPUcO64c6X28lro9U5eWkRHR8ecOG+5yHYdMs1lTl9tbW309PQAVqggR/PIzJXk59znowW5\nPTEPHDjARCxOgjpefGmAYDDIpk2b+NjHPlZwm46b9rXXXpuKju3ngRusqWNtSyc3b/0Ma1vyL5Kd\nnpni2JkhvvbjuzDG0FDTwCfe8Wnqg/V05MrqaDMw+isGRn/l+9zmi9vRob+/v6xzQV6UUyP6TeDf\nA8+LyD/bZZ8Gvgw8LCK7gdeAG+zv9gFXAQPABPBBAGPMiIh8AfipXe/zxhjnV9QHPACEgCftjRx9\nLDoikQjnRq0f/TLKG9IjEolwxn5WTCe9+3IEz5YtW2hqakqVv3F8uKzjKwa3l9ctt9xSkjZ7e3sZ\nGhoq+3qnzDdcN7W1tQXFefO6Ds49zexr9+7dnDhxgt27d3PXXXcBs7mSHI1oZGSEdeu8c9zkGj9Y\n/3e7du0iFosRCoXYsmVL6piJWJza0HKmJsZoXXshv7HzDv7Xo3cSHzs6p51MbSsWi7Pn2x8mkYiz\nalU3MOumXVNTx9T0JDWBIGLqGI+N0bbMOi5YU0diZoqRs5Zm0LY8v9AoFQOjrwDQ0jarZYZCIQai\nrwJQ39jAhnprPEfj3ppaJBJJXc92LC/A+vp6NjS0WcdORssx/HlTNkFkjPmfZJ/HAZhjULc93z7s\n0db9wP1Zyg8Dm7KUR7P1ofjn3Llz7Nq1C7AEjkOmme62226ryPgcwuEwZ+ssARgcqyfO3Dw5mV5e\nvb29tLa2epq8/FKIebOURKNR7rrrLu644468dTNNbdmug5egcB/rFnSZuZKi0SiTk5Pzds+33O4n\nCQTrGI+d5tChQxw6dIhz587RvKabt+/8FD+47//xPD9n7NYSgjgNDcuZnDwLJBGZ4qKLutPmbNeu\n3sgNV3+Wv9jzH+ho6+T9V36GP3nwJk6MDPHtp75IYmaKmWSCZGCKmpoAb5we4v5nvshUIk70XPaH\n/6sjA/znfX/EZCLGsbEh/tv/vJOkMdTXNHDruz7Nx/Z/iDNTZ7ntB39MPOG9Fshhy5YtqfPq6upK\nmYFDoRDMzUk4h+bm5vyVqoiyzhEpxRMOhzmH9fayrEjzYF9fH2NjY6k3zmx91Qash/p0ctmCmdzc\nc01eYyuGbK7WjjaQ7xyLFVZeuIVJoWa9bGt43OO87LLL0vadc8wWTXvdunU5zyvb9enp6UlzHSdY\ny/j4ROph6YynEJrWdPOWnZ/klUe/AlNRYrFY1uR7mTjCp75hOZOxMTrWvJWrrv0s+x77AsOnXgbw\nbWaKT09w9OS/YEySYDBIV1cXkUiE4eFhhk79EmOSnI2N8qVHb2EqEWf52u5U+4ODgySYSjmwOIzF\nR7n9mT9mamYaI0mmglOEgukOBAOjlsC5+NJLUmXul7zMF4UXn38BsLSjgdOvWceuvySlBfX396eu\n/2233ZZWv1o5j6aXlYVMsFco5Zxr8nK19oqN5jVnUkrmuyA01xoe9zidfa/kc5nRtMEy59x2221p\ncyaOJuEun5mZSblPg9D0+x+HujrGp2eYMDWMxybnPckdHzuZ+j/Ilo48G+0dG/k3N/45wdr0B20w\nGPTtNRZqWE4wGKSxMUR7ezstLS2A9WLU3t5OY2OIhoYGaoI1zASmuPBts1qWeznBxRdfzPrmTj76\n7jtY0dCMBITp4BSXXHoxra2tqXqpfl0REfx42ro94tasWZN2bHNz85zzzeVBNzASYWCkOiJ4q0bk\nk0gkkgoy2dzczCOPPFLpIRWMlwddNkZHR1MPrUOHDpXVWcOPt2Gm1pQPZ96hubk57Q3er6t1plB0\n3jS9xudoOOvXr+enP/1pTg3Ky1Toh2xreNatWzfnGmYTBB0dHfzqV9bkdzAYpLm5Oe2+xmIxjrz0\nLxCshclYqo3Z8jqYnOD1119n27ZtfP/734fGJgKNlsdWTdtamq79EOOPfcPXuTjE43GSw6/xyqNf\nITExxowItaEVJJPjBbWTyYUXXsjdd9/tq+7KFWtYuXpDqv6uXbsYHBykq6uLhx56KFXP0VL8tLuq\nqYNEzRRdXV3cfffdWc3Y7uufaep2azjuOs59cbfp9X85x4PudcuDzi2UFtI7zgvViBYZXtGIy0Ft\nrbX5IRKJMHoaRk9TtjwphWpNjlZQaCQJtxYxODjIeGyC8dhEzh+ro+G89NJLeTUor4RzbrwWfhay\nhidTw3FrGJkLQWHW6zDQvBKCwbT7GGhbQ9O//yiBDmvFRG9vL01NTQSWtczpNzkWTfXpFffPPbZM\nE1xtaAVvv/Hr1NRl12bGx06UPf5bNu3CGXc5gwL7GUMpxuP2lPNrCi/nuatG5JNwOJz2ZlRq+vv7\n+d73vpdX41oo81p9fT3Lm6wHxOo1s29t7snh+fxDFjI3kqkFuU0h+Zwk3G+ajqv1E088UbCrdSQS\ngWBgdt/jnBwN5/XXX6erqyvnIst8JjKHfPMzjlbjhaXJvJTScLpsp4ORkRGWL1/Oa69Z8wuF3sdI\nJMItt9zCzMwMUjP3EWISU4wDEqzHTJ7LKixisRjPv/QyATtsTqj9Tbxl5yd54b4P09A8NxBKMjHF\nmeEhy2NuYgyMYcbUEY+N0bSioOGnSMxMcTI6xN88+UVORoeIJWZjzHldk4V0AnCPwev/fSHHU86+\nVBCVALcTQCH1m5ubeeWVVzDGUFdX5+vYQsxrfsZQqHOAE9zU2XePS2xHh7VrvM14hbpRZ3sYu4Vh\nKBQCH5cun6t1MU4JXuYyr/azCZNwOJx2XplzCe7zcJwCkslkSjNwxuzWNGKxGNKxhvprrif++HcB\nyzw3OjpK9MxZqK1LM8HV19eTmE6QHDsNU1OptmOxGGQ87PM5E9S0rWPZtX/Iucf+u2edurYNrN75\nCY7dX7g7fUNjC++78c/43v3/seBji8HP/8avRga4Y/8fMZWIE6jP7jg8MDYAwMVcXPbxpPU7Yi3+\nvXjdXE02G9kcIMqBmuZKQCkCLYZCIfbv38+BAwfmaENDI4ahkeICP2SmaShGs1rVbm2F4hWx2j22\nG264geuvv57rr7+eI0eOeJoPQqFQTrNFZkqIQrKjugmHw5BIQiLpOU/m11zmZSp0TGSWGTDGeCzm\naXJyL6RduXIlE5OTafUdLWjcWILKRIeJP/5dTHSYSCRCbW0toVCIQPtqQh/4j9AQSl2neDxO+4rl\nNIkhEBDGpxOMmwDJZJJk9Dixx/aQjM6uugeYib7BxGPfhKk4Mydes+aHpuMkx+auKcsUkoUQCNax\nor2T39h5B8HaepY1F7+2J1hTx2rbfXt1ibK4dnV10dBYT6Jmio0Xd2f9H7UcCOqpb6yfVyiw+ZrI\n3I4Lfvv1Yx4sBSqIiqS/v7/gH5Vjn+3v7/cUPg5dXV00hJpoCDUV/E/rfsAfOnQoLa9Rtjwv5cYr\nYrW1cHGcidg44+PjjE9Ym9c8S19fHw899FAqTXP8OMSPp9fxkxLCfX2ArB50VqTvRppyxA90x50L\nBAIEAoE5Dwr3vFNmVAa3GU862pE8eTicOIGrV69GOlZDQ0PqPGKxGNLWTv0HboSAj593YsoWOEIi\naVL/F6FQiEBbB03//hYI1ORvxweOOW7C1M7xiIsNv8Yv9txKcmr2t5RMTHF2eIifPfolZqbjjI9Z\na3hmElOMRof4waNfJDEd5+xYxs2vIG4PurvvvjurcCs2EPB8hcN8+u3v7+ehhx4q+3NCBVGRDA4O\nEo9NEM8zmT1fivmndSfVi8VirG2DtW3FJZCLRCKMnIaReTgl5IpY3bza2urr62nugOYOfL2h5koJ\nwZqAtXlgaSD+8heFQiHP6+/WcIwxJJIzeZ0bCgk6m6nNOtrdqVOnMNEo2FrUuDHpD/hg0BJK11wP\nwdp0U5uLQNsqQh/4EIGOtdkHEAwSaFtD6NobIViXaieZTFLTtpbGa/8D1NVT0/Emmq79ENTWE2jO\nLkxr2tbTcuOXwOWIEAjWE6oNUM+Uyy08N4mpGNETA2Bmz3cmMUU0OsS+x75ANFpYUNJyUaj24qd+\nuYXDQjpkOOgcUZFEIhFqA7OT2dUWky5sRfRgZGK2zPI+mzvPUw7c8x4dHR0cPXp0jht1JBLhrK38\niIkTXJ67HbcbdaZ76uhwgWGG1jSlxuA8oDN/gKFQaM5EbeackuMM0drayog9Z+V2Ic9ss5CoDI7J\nztnPSkMDdR/4AFPf/CYmOszU44/C9DTG0SoT04yD5biQTEL0JPHHH4HpaZJjo6lmnOvgGbfPdkQg\nWAfJJPl0peTYMINnLI0lFosRyOJYEGxeTdeqhjnnFwjWsby9MxVZYSp2lqf3/BEgBAIBQqF64nFI\nJOI8/egXSSYTZAmskZPIyZfp/85HmE7EWbm6u7CDfeD+v8nmjp1ZXg0RESoxBhVE5wnxeJyTU9Z+\n0sRZ25b/mJP2M321K9FcOBymxnZK6MjhlODgmN0AGhoa5p2Qz91OocLzl7/8Jddff31aHLNMLFPe\nxJz2+/r6UvXdwgdgZGSE0dFR+vv7U84QiUSCkdGTae06xzrtvu997yORSBAIBOjs7EzF64tEIhg7\n2N8vT5+hpsZ6zIdCIaRjVaqOI9zC4TDR2iDmxElIJJh+/HFLyLidCCZjTH77AZiaQtauo/6af8vk\nN/989ntjYHKC+OPfIRk9yblAgGXLljE5OUkyeoLYY9+G6SmSY7NBUgNta2i89oOc+6svpV3Dmegb\nnP3WXTA1Odt8Is44ggTrMMlkXhNMPB7HDL/GC7Y5bsI2x9XUNmAScYJM8dZNF6de+iKRCGNnrPsm\nEiCZnOHM2HGE7Bq1FU9xgkee+AKJmSmSyQRGpnhrRhigUuEWOkeOHMlax/3gX0gtxEswLuQYHFQQ\nFUk4HGbKfg2rK5E2lOnK3dnZmfeYQrzgZmZmOGW/BMdNdvOF28w1Pj6eCg0fCoWo8WE9cdy0E4kE\nrdYzlNra2qxu1OFwmETQDi10th6v19o8+cY8icfjGGMYHx/n0KFD3tdnTVP2cheOYAmHwyQxJJMz\nDA4OpjScbG62sViMQ4cOpbQaXPNkY2NjaYFjHRKJBJNTU7MFtVZEznPnzjE1NcXo6Ki1+r824ycs\nAg0h6q7ZSfzbe2iynbbGARM9Rfzxv7OET7CO+mtuIPbNPwVXWJply5bx0EMPsWvXLobP5E/wOBM9\nzrlvfQWmpmhqagRmiGWY12ra1rH82j9i9K8+4TrBKaaiRzn56FeZih7ll6cNNTU1dtSGua7vjc0d\nTDN3cWg4HCZQO83v7PwM/2PPR4hPjs2JL+e8QMRiMSYmJqi1Q+wEa+pIBki1WW683LEr8eCH6opH\np3NEJWBgZIyBEX8hYDLt/YWQ69h8XnD19fWsboHVLaTetHPhXvDW1NRELDZub/4cMxw37czsnfPN\nFloMNTU1UCfW5oN8c2ixWIxIJIJ0tCAdLXOONdExTHSM0dHR1GJYy5W6FelopaGhgaamJtrb29Nc\n/sPhMNK2EnEiLwdrIFjDxMQEJjqCiY6QSCRIAgnbddupJ21t1F5zjbUCOTFN/Nt7rLVD9j3MjIHG\nZIzYt//SFopimecSMyktIhwOE2jrIHTtB6C2jkBzFm/DYB1NtTU0SpKmpka2bduWcnSYD6FQiPr6\nepra38QlOz9FTW0907GzHNrzUc4Nv5b3+OXNawiFQinB4rxwHDp0iOHhYSYmYhhjmJ6OMXrmOCJU\nLPV2oRQzb+N17EI5IvhBNaIicYfH8BMqY3BwkMmJ3CYmtzkIZt+eHOcDsH5c2bQm93HuuZcZE8eO\nBk99fT0tjZbWcXzkNNu2bQOsB/ZqD5Pdanvu+awr6op7XiUUCqUS401PT6fctEdGRmhpm3W8yjc3\nEo/HGbf7iCRm59wikQgTdn7fyHT+Seh4PA7DzkR2ANqtt+xwe36t1ctM50RZcNo3gfzjkQ77AX5m\n1lyVGXqmkAjm7rU78XgccyIGySQmGmXq29+2NRNbw7IfyoODg/YaoWnM2CgYQ1NjA2CIB4O0rFhu\n3ceQ5dYbjVqREZJT04x/689gKk4yepzxb/231P7EY38FiSlCK5anrW3LeS6JaRLRY5x99E/AGALB\nelbv/AQnH/0qF65qSGk6rw5b81OOOa6WKbou6i7a+UAkgDFJDIaJybGy55AqJcVoL17zVNUggBxU\nEBVJX19fSu33S3drYamN3blF3tRqvdW7jSaOFxOwoP9gbqcHgEb7+XfixImU95YxholxWOZz9Xsw\nGEwdWw7TgXuOZWxsDM5Y9y2eDACuoJlrsnhMAKyxx3TyXNavrXkbe83XKUszApiYnsFMWw/YyGyc\n0rmLc2st6VZfX8/MCssc13jmHBP2fuDkMMYYAoEATU1NJBIJ4vE4LStWWP+DTU1s27ZtTqqOkEso\nZdbJjFn21a9+lfHxcVauXMnU1FSasPIT/S0ejzMTfd1azDodJzl2ysdRs4wPv8bP9nyM6dgZGl0a\nTrY4bKFQiEDtqpztbdmyhccff5xkMkl7ezvT09PU1tampVqodoox3/mZp6o0apqzefnll9m2bRvb\nt29Pu3Evj0R5eWRuEil3zLdyL/rK1n44HE6tQbrooovS1gi56zjmOC8TxCWXXMKBAwc4cOAAl1xy\nCSeG4UQBjmft7dbmxh0wFSAeg7GR3O7eYyet7cILL2TTpk1s2rSJyy67LG2dT2ObtfnxTKyvr4f2\nALQH0s793LlzjIyMMDQ0xLlzs8JkZmYGhidgeCJnpld3+9K2HGlbXpSn5KFDh6y1U+PjjI6O5q1/\nySWXsHfvXt72trfxjW98IxXx+aGHHsrp5h8Oh7n77rvzLgWIRqMcPHgQsMy9b3rTm9Lad7St5NgI\nJBL5z90YzOQ5zj52D5gkEqxn+c6PQ209wSyhfLq6urjkoo3UMkVjaG7EaIempiYrWKqPCN19fX10\ndnbS2trKli1beOSRR7KapEqdxTcXlXCRhuoyx7lRjSgHXV1dvPjiiySTScbHZ98F+/v7GRoaIplM\ncuTIEV8xoYrBnVvkbGSuUIxEIgRrZvf98IbdTJtr6UihZkYvWlpaOHPmTEoYOSa706dPc/311wOw\nZs2a1Hm5+3I7RkQikZSnHIAUpkimc9ya+K8JNZEkSTKZpL6mHlqtB13NyTgJPxnHsvDCCy+wY8cO\nAoEAwWAQM2UJsvpQIzMrLC2r8cwkEyusvsKrMh7edfaJJb2jZ5gTtlaxqmPeKSQc7SvXS9N9992X\ntuj4+PHjbNiwIfW9pVlZwWAdU17m/0l9fT1mxRqWXfuHjP3lJyyXcec8Js8yuudTMJXdguA8IPP9\nji699FJee+01RIThEy/zP/Z8hEQijklOpR7w7oet1wPfbaqanp6edxZfLw80L6rJUaAaUEFks3Hj\nxrTEXmD9KI4cOcLY2BiXXXZZqnxwcBCSMwQgq8dTuXCnDT9bRNrwzBDwDplrctwmo6BLdz417LST\nvf2Ojo6UtiEitLQaAjUwcnJWoL/66qtpGWCdcXR1daVFVFhmvzQnPRy4csadO249UEOtswMNhUKM\nN9sCZww4bo2nPtREotl2Zjg5CcNWeWQq/3VOJpMYezFpMBikKdSY6muC7MLF8SpctWoV0Vqr3/oz\nE4yfmHtx3fdr3bp17N+/PxUmKV+AVbfwcRwJcj0En3vuubTPp0+fThNEjmblNuXlFBrBWmra1rP8\n2j9i7FufpVESwPQcz7pCcIeKOn36NA0NDYhM8baLuhkaGsp5PTJxrsXk5CTPPvvsvFJzuNvxS6U8\n5aqVsgkiEbkfeB9w0hizyS5rBb4DXAC8CvyuMea0iAjwp8BVwATwB8aYf7KPuQn4jN3sF40xD9rl\nbwceAELAPuCPjTHGq4/5nodXCPtae/a9GlZvh8NhXhgZTu174WhBl2xKz4Hi4H6oj4+PZ31zDs15\nQM5qLFH7GToS/aVl6rJxHBVqampALC0pWFObdV7N7ahx22238auTs3bCcSdLc8aUQL5xuucCIpEI\n2JPhM4E6mkJNqfrjTM5px00kEgHbpTmeFBypV1NTQ2ImASJceOGFacdET72e2jcnbJPPqnBKq2lt\nbYW6wJwxh0Ihxm0tKLxpU6q8pqYmpWlOT0+nAqzm0nYc4dPX18fv/u7vctddd6WZn9zHWj/F8hBo\nXkXXKktIDw4Oeq49dY8n2/+zO1SUtbA1xLp16+blgu38vu+55x7PLL6FtAPlsYosdco5R/QAsCOj\n7HbgWWPMRuBZ+zPAlcBGe7sZ6IeU4Poc8E7gHcDnRMT2baXfrusctyNPHwtCNttvf38/27dvZ9u2\nbbzwwgvzbjscDrO2RVjbImk/UD/x6EKhkK+YdU4w0csuuywVzw0getranP6cNk6ftraZmRlCoSZC\nIW8Nsb6+nhWtsKLVmk1FjwsAABh/SURBVAsqJHRRKBSiMdREY8b43XHnABLD1uYep1f7y5YtS9UJ\nh8OWdnR83J5faoL2Jl/zP8FgkKbGJtpb23Je/yZ7W7duXZpXoZmxHoBul/ktW7ak6rvbdN7agZRG\n4O7DieIwODhIJBJJXR/n/9HLrOcc+973vjetfOVK6+fmbtONu9zZ9zPHlo9cmlshOZn8kiv8lFJ+\nyqYRGWN+JCIXZBTvBN5r7z8I/AD4pF2+x1i/sJ+ISIuIrLXrPm2MGQEQkaeBHSLyA2CFMebHdvke\n4DrgyRx9lIxwOMyLtgND5oMqn4qeTCZ5bcx68DRJabQpP557uTJBusvnO4m5bNmytD5+/nPLOycU\namTklKU1NYbgtD3Vsb7AxamZ458v4XCY4TprPG5Xbvdch6UdTXkcaz2s6semGT9hORdcuOnSvO7Y\n7vHX1NSkeRVybhya0730MjOuOm2uXr2aoaGhVD3HDJUZASLbgzwz+rlj1nMf6zgrJJNJAoEAa9bM\nhtXwEg7u8lAoxMzMDNNzavknUyvOpJCcTH6ZTxZfpXQs9BxRhzHmDQBjzBsi4rjNrAOOuuods8ty\nlR/LUp6rj5Lh5cQA2U157h/Wrl27GB+d63BQLOWc/AyHwwTtsD7uJHnhcJiAXb7GVW5dE0vZDgaD\nNNpa0po1a1KOCOVITxwOhxmts02UPtYLuV2A77777rTxDA+/mv2g49b8Vah1dsFVoaFh3G/fAMTi\ncwSRFydOnEj7PDU1V2B6vVBkZoZ9+eWXregMLtra2ujp6eGZZ55h69atqf682swsd4TmC6dmfxcz\n0dcZ+9ZnMZPnYNUlvs4zF+6cTIGAlaYim4NCMW0u5IJrpXrct7MZps08ygvrVORmETksIodPnfK/\n1sHtDup2YvBDOBzmTc1B3tQcnJfb72sjhtey5CbycsuMRK0tk3K6j1522WW0trbS2tpKT09PytzU\n399fVPj7knE8Zm3kNgFl4k4J4ThYzOdc3GkjrEH4X93f0ZGuSvpNqAhzM8MmEoms5757924uvfRS\ngsFgVnOcH2air3PmW5+HqThNtQEaJUFTKD0PzlT0KJE9txE/UdgLSWYajdbW1qKXT2RrU1k4Floj\nOiEia21NZS3gxH85Bmxw1VsPROzy92aU/8AuX5+lfq4+5mCMuRe4F2Dz5s0G0uO8iQjXXXdd1gdN\nMQ/wgRHLcHHJujwVM8h0ry60vvuNv5walFdkCDfFphyfL+Pj4wSwcgYVmp3Wy1wGs15w69evzznR\nDulv3yKCWZYeATwUCnk6H2SGTJqe9m8EyzQ/XXnllVkn5J3oF14mvnw4/5vW4tnGHAts093AC8Gd\ncbdUQiNfFl+/VGv0gmpmoTWix4Cb7P2bgEdd5TeKxeXAmG1e2w9sE5GVtpPCNmC//d1ZEbnc9ri7\nMaOtbH1UBVYGxyYaGgtPdOcnN5HbMeLgwYOe9ee7sM0dhy3Xm3K+xYHuZHheJrpIJMJEFCaixXkn\nuifUHW2ts7Mz97kfP2ttPnGcAF566aW0h7c5MTLrLWfjfvtubW1FXFFkM+dbMoXA1q1bU55tTpbW\nbGS7/pmZYfM9cDMdHRy8HBfcx+VbPOt3ga0XfjLuFkqp2lyorKZLiXK6b/81ljbTLiLHsLzfvgw8\nLCK7gdeAG+zq+7Bctwew3Lc/CGCMGRGRLwA/tet93nFcAPqYdd9+0t7I0Ycvipmw99u+++1wISnV\nm1q2H1lmPh/34kAvWnzM3s0UM+vtwu3CnO/c/Wiebo3F7QTw+uuvs2fPHlpbW9O0vkyNND1txKzr\nvdvpIds4e3t72b9/P9PT04hIKgBrJm7vOEfrcQRgZvTz+VCIpuRnIa0XhS4UrQYW01gdKq3FlU0j\nMsb8vjFmrTGm1hiz3hhznzEmaozZaozZaP8dsesaY8yHjTFdxphLjTGHXe3cb4zptre/cpUfNsZs\nso/5iO1xh1cfS4V8czt9fX2e6ceLeVM7OWxt4XA4LU338DAMp9ZgWq7fk5OTad5ZhZiP3GzZsoWm\npiaamprSolTnInHc2tx4vdl74TcrrvMw9kqB7m4HSNMinLfv2tpazIko5oS3A4tbA2lra2P79u2I\nCJ2dnTQ2Nub1jsvUioqNfl7o9QTv5IL5NGv3/2ylwuKcD1Rai9PIChWgmLePYuZ25vsD9tIQ3OXu\n+ZbMxYGZiy7B1qry/Pd5RXrwum7FhCjy89buruNOM3DdddfNWYOSbe4l28PY77yf+1hHm7rjjjuy\najXZBKNbK/KbGbZU5NJC82lWiyFg51Kg0sJdBVEFqIQwKQYvc6JXeebiwGg0yuTkpGe0hkyzXq6H\nViHjLHSFux9zU7Y6ftag5HJ/zmeqzTw2nzDJtjiz0NhpDo4ThpfQ88JLsHsJc79tKksTFUQVYKn/\noNwPZhGhvr4+Fa3BvVDxqCt8jx8hU+65u3zte9WpljUojtD4zd/8TZ577rmSLM7MNtfkFz8LYBUF\nVBApZcD9YK6treWBBx6Y8zYdiUQ4bcuh9nZSIXoWI6V0AigGR2isWbOmIO84LzLnmgpxlfa7AFZR\noHoWtCpLCD+LA90ODPN1ZqgmKpEC3Y1baPzwhz/kiiuuKHpxppcThqKUGhVES5xKeRrlezD39PTQ\n3t5Oe3s7PT09Je/fj0dWKSnHupZCyBQaQNGCUQOBKguFmuaWOOW0xWdGRyhkQt2PiSZX+35YDHMR\nxayxcZMpNP7+7/+e733ve0W1qYFAlYVCBdESp9yaULnXHhTSfuYC0vnOO5VKOPilFAKzHEKjWpww\nlKWPCqJFxnzdactBNXiyZVIq4eFHOJTiXpTqGpZDaFSLE4ay9NE5okWGV2IzJT1JXjEPd7+RA6rp\nXpQrenSlnTCU8wMVRIuIXKFblIWlGu9FOYRGpZ0wlPMDFUSLCHWnrR6q8V6o0FAWKyqIFhGVcqd1\nJu814OQsfu7FQruQK8piRQXRIsKd2XOh3WmdyNqKhd97sRhcyBWl0oidPeG8Z/Pmzebw4cP5K1aQ\naDTKTTfdxNTUFHV1dam8N8rCo/dCUSxE5GfGmM3FtKEa0SKiXJ5RSuHovVCU0qHriBYZTi4adaet\nPHovFKU0qGnOZjGY5hRFUaoNNc0piqIoi54lK4hEZIeI/IuIDIjI7ZUej6IoipKdJSmIRKQG+Avg\nSuBi4PdF5OLKjkpRFEXJxpIURMA7gAFjzCvGmCngb4CdFR6ToiiKkoWlKojWAUddn4/ZZWmIyM0i\nclhEDp86dWrBBqcoiqLMslTdtyVL2Rz3QGPMvcC9ACJySkTGgWH763bd133dr4r9Svev+7n3OykW\nY8yS24B3Aftdnz8FfMrHcYd1X/d1v7r2K92/7uffL3Zbqqa5nwIbReTNIlIHvB94rMJjUhRFUbKw\nJE1zxpiEiHwE2A/UAPcbY16o8LAURVGULCxJQQRgjNkH7CvwsHt1X/d1v+r2K92/7uffLwoN8aMo\niqJUlKU6R6QoiqIsEpasac5BRO4H3gecBP7R3j8DrABWAjPABLDcOQRrXsmNIbtLuF/cx3vtJ5l9\nMXDvJ8h+n7KNyWucjtorGWVxoCHLmM4xez1yteGn30LKC8VP+8X05XUf3OUzzP6/ZN5PKaLvhcLP\n/6ZX/cWCn3P0Oi/3vfZq00+/Xv8nufbx0Uc+Cr2Pmedr7C0B1LrqOFu9XXYSa+1mg/35MeDfYp3z\nN40xX841yPNBI3oA2JGx3wH8V+CdWBf5tL2fAIaAtwNTQMzed27E27H+oQD+g2v/d7BuCsBvu8qv\ncJVfa+8b4N/ZdQTLo28G61582O4nAPw5sw+/bzP7j3mlXZ7EmgNLApPACXu803bZy/Z5OX3eA4zZ\nxx7DEkLjrn1jtzNh9/lju63XgH+wvx/HElIz9jExZv8hX7XLp7C8FrGPd67ZDHCL/TeZcU4fsMsT\nwH2u9rfaZQAfde3vsfcF+E/2vgE+aX+fwIqu4a7v9PU7dvkMcKe9PwX0uOr/hNkf4Ev23wDwv5n9\nX3jernsUOOhq/7C9f9Z17C+BH7nqXO8a852kj98Z2x12Xed/0Cm/xd6fznINnXO5z94/Z1/DabvO\nV+19AzzuKn+A2f+bP7fLJoFddvkM8BXX/hPM/l9/xi6fAr5r758Dbna1+XHm3jtjjyfzfOMe5zvj\ncb7TrvON2efr/P4+yuzv7O9c+19z7d9l101ivaQ6x/a56jzm6neXXe78ppz/7fe7rsmHmH0RuZNZ\nIXS769jP2HUTwGZX+R8x+xv5un1dAX4PeMXe/wazC/bfDQza+x/B+j0D3G/vi30NnfLb7OskwCXA\n63b55XabAftanbPLNwG/whJC27GeOQmgBfiCPeb/ivU/0Q38MdbymY8DN+AzxNqSF0TGmB8BI5n7\nWA9YZ/+NLPtBrJs0gnXTxl11AOrscsPsP8IM1s113jTasK6xsdt1rvdvufbbXPurmX1rGrH3k1jC\nzWmzw64fsPsN2GNN2mMK2nX/F9aPOgAEjDEfBUL2d7+y66+0+2mw69Zi/bBDwG67reeAC+x2GrB+\nGAGsf8Yau70A0MqsNvnX9lhrsP6hnTrNrjq/4bqWE3Z5EOvH7ewfc12P/+Pa/6Vr/632vgHeYpcF\nXNcPrB+6w6hdXgP8lWv/tYz2nTEPMnvtnYdCktkH1kpgwN4XLOEPlkZ5yN7vwBJKTjv/f3vnHmN3\nVcTxz+wr0kIE6wMaJE0IKgoRBQ1BCf6hUVRijMrjD4ISjWAIomgkRhQUQmKMj2A0ESKBlJjSCERQ\nHhZqTSsBC0LZ7Wu79EFfC7t0e3e77fay9/jHzOTMrmxB3XKhzDe5ubOzc87vnPnNmTlnzu+e30aq\n7tYF+qjQl/fN0JfDQ5ujDhvG60EdbSd6P5+hruT+FOhHAt1lnwn0PnpfXWbS9ObyJ4a+rDJ+NxpM\nXP6vRnegmQi30bWhj/ONHg/9HQ39bYb+tqy/fl3vb2fo7x7rr+vqCerYWhPo46jjcr7xOpg6Rv3+\nC3A8FYPU8XdroPtnuFYztOdE47eAM43XAo4N7Xl3uO4XQj2noT8gBbXPN1vZD6D2BXrvjjJ6EvUt\nAOegGSDQINFt1zqZmvk4HQ0urh+/1yeH+ntR++6y6x9h9fQAR6P6344GryHgPeWVHrE2Wz9Iei1/\nUEfaG+h+1PFsRx3qtmn0DmrwcHqCOmuJn1bgN9EB0gp/u9xng9w9QWZjkNkX6EuD/MogvyXQG+zb\nZ1D+mQBWU1csxfo+bPJDoe4XqCulEup+0OiG1dey/lwa2tgI5YapM9cvhXYtCDKPhrKXBP7awL85\ntCPOFKPunwn0GHWV0jB6PzpYXebZGXS8O9TdH/h7An1G0MntQdd3h3a+N7RvTSh7V6BPDfXEvqwJ\n/OFAN4JMX+DHtkVbiP0aCrTrthX0Pf1eDAUZpyeBZUFmJNCrX0L/BZ04OP1IqGc08M8M11pCHVsP\nhX4sCDKPBvqSl+hXtJlJ1GZcvhVkdgV6IshMhLLDQSbqanegmzPUE8vGe/SdcL//FuhVQeYbgR/t\n8GdUO9gS+PeFvl0Wyo4HmfMDf0Vo992h7FmhnwOh7BdD2ajnh00XLTTj8DCakpuwz7PAHOAr1u4r\nze9cCPz6gD663UGiTYFoGJ1tLEAHyapp9GV2g5yeBJ5HHY4HnpPCTbzIjK9lcm7YA6hTdKN1w41G\n3k91IjuD/POBboSym4NxjoWy0Zm+iDqOyXCtx4HlVKcybv1thu+CBi93Ks3wdyvINpjaD3dykybj\njr9pbXKdrQ8GvjXQkb+Lmu5ohPrXUp3h/iDfCHwv20Kdpcv0Up1hL9V5bgtl/b55cHB9eBB2GU83\nvUB1dn2BfjroZWuQfy7Us5rq3CaC/FDgN6bJe3v6Qvs3BR31BXo41DMS6hmgOskmU4Ob86Mz2xx0\nuJlqa54Gdr7TjVDPWOjXIDWdHB25y3g6z+/tANWmNoQ2bAt1bgj0iNFxMlLQ1WacnHg90YZ3MzUI\nTIay3q+NoV/rgo52TtO563OCOnZL4E8GfpyMTEwr6zpqMtV/TA+MLaYG+csDfzDw/x74d4brfy7Q\nHw3y5wR5T60XNN3q2wE/tz4PoWnA76PBsh/NXmwAvhkC0Y0H8tGHfGpuBhyJ3hDQCL5gGn0OuiSO\n9Bzgt9TUwPHUJfdZ1E06v2mC3mjP5V5FHdhbUWOeRPcL3Njupxr5Smpe3VNVoM7Hnea/qA57P2oA\nTdRh3GvX3g+UUsqp1KX0dcYftm/fcIS6bH8INeb7qAN+PRoQ3oQa3HN2rR3Wxu2oo/f6etFl/R5q\nCscH/jFUw3+nlS2m6+3hOj6j/pRdb9zq2oYOiAeps7KHqHsj+6iD921ouhHTnQ/SB0KdHpBAUxzx\nARG/53Opqc851IcRTgj0sVS7eEuQ99RlQVMVg9bGJdTZ7uLAX2F1jKL2Mmb0VVSnGPvVQh0jaFp2\n0MqMU53cFait7ENt0e1oFdWG1lED0i7qvuHtpk/Q8dMT9DNi3+utnr1MdaCbTGadtXEXaqcDxt9M\nnbw8id7DCTS1tszqm0RTU67DOdR7tt3oXmuHT6g+aX0ft7a5Lh6hroYeDXp2xz9KTRGDpsxdzyPU\nQPGPUP+Yld2H7o9ssvrvMbqg+2+bTOYv1GC8FB0XY8BnqFsAYrLYt/P3UMduF3UcnWtyLeN7OxeE\nej5ItYeFQeYn1HTzH6k+7MumS5i68jsD9QFYu/ajK9Ob0JXr3PD/Y9F7NCPeqIGoiQYPUOXvCPQg\n+uBCpFuoc/HlK1TnATpj9c3JxVQDG6PmaYdQh1vQ1UkndfbTbWWfCHRcol9ANZivowMDdFB3U/ds\n3k/dxzgNNaBOoCUi16G5371ovvgw4Ffo4O01vgcJT9V1oDllnxneDpxiMnPRQNiBOsQdqLOdhzp3\n0D0bTx++Hd3U7LI23kF1MN+m5rz/ae07GjV6D+zzqHsKq6l7aw8avwsNRF1oIPSU1270AY+m9elK\nqxvUwc+3enxPwicHnmq4wdrbQlMWE6gz+hp1VbLQ+HeiA91XOT82uo/6MMcoaiN+XQ/Wgk4kvC9/\nNl53+G5Zm+ZaW2+kzvQvtLIta5/X745JrIwH02eowXRV4C83Xg91JduB2rvY33dSbeIGK+srE6/H\nZ/mdwLvsnmxB9zB8snOc8ceDDgaN/yIasD9tsk9YX/aidi9WdiTU8zhq137deehkpged2PhYedj4\n3Wi6TKzcOuqkzx8MmGTqQxXXUCdaW0L9EspuQ0/732/tdntbaXzXoVADdg86MRhA98Wa6B7jWuvP\nLdQJyE77dJk+GlZXH+rwO1B78wni8qCzp0yPndY2l3+KOmleRF3hXU495HQNdQ/qHajtdqP3rxN9\nUGSN1T8PWP9Kj1g75H/QKiJ/AD6GzqZ8xnM4dbbjm4Ql0FBnXgTZRCLRXvhM/f+Veb2gRV0wzNSv\nKDNb8GvF9KH/1GMnGoj60ZO3Y0alH50cLESDmB+xdv2BLnbIB6JEIpFIvLbxRk3NJRKJROI1ggxE\niUQikWgrMhAlEolEoq3IQJRIJBKJtiIDUSKRSCTaigxEicQsQRTLReTswDtXRO6fhboXishGEXlS\nRNaKyA9eQZnPi8h3jb5ORK4w+mIROfrApROJVw+H/GsgEolXC6WUIiKXAItFZCn6G4rrqae//08Q\nER+n3yql3C0ihwFrReTWUsqzM5Urpdw1w78uRn/MuHOG/ycSrypyRZRIzCJKKb3osS7fA34E3FZK\nGRCRi0TkMVvR/EZEOgBE5HcislJE+kTkh16PiGwVkatFZAV60kPEYdRjeFz2SKNPF5ElRn9VRH4Z\nC4rIeejpGIusLT0kEm1GBqJEYvZxLfremrOBn4rISWgwOaOUcgqaiTjfZK8qpZyGHs/0iWnvbdlT\nSvlIKWWx/f0LEXkSPYrltlLK8H/bsFLKIvQ8t/NKKacUPaY/kWgrMjWXSMwySil7RGQRMFZKmRCR\njwMfAlaKCOiKxlNqF4iIv/tpPnrC+2r736JpVXtq7ghgqYjcW0p57GD3J5E42MhAlEgcHPhrIUDP\n7Pp9KeXqKCAiJ6BvtPxwKWVERBZST3EHPeTyP1BKGRWRZejR/Y9RD6hlWvlE4nWBTM0lEgcfS4Bz\nReStACIyT0SOQ08ZHwUaInIM+tqCl4WIdKMvJvM3A29C3xsD+p6tl8Mo9c2ciUTbkSuiROIgo5Ty\ntIhcCyyxhxSa6DtbVqJpuF70tQMrZq4F0D2ia9DTjh+gHq1/DXCTiOxEV0gvh1uAm0VkL7oay32i\nRFuRp28nEolEoq3I1FwikUgk2ooMRIlEIpFoKzIQJRKJRKKtyECUSCQSibYiA1EikUgk2ooMRIlE\nIpFoKzIQJRKJRKKtyECUSCQSibbi3yEfNzXQEJmaAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xc802048>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#scattter plot YearBuilt/Saleprice\n",
    "data = pd.concat([train['SalePrice'], train['YearBuilt']], axis=1)\n",
    "fig = sns.boxplot(x='YearBuilt', y=\"SalePrice\", data=data)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "相关性比较弱但是总的来说还是线性相关的"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "SalePrice       1.000000\n",
       "OverallQual     0.790982\n",
       "GrLivArea       0.708624\n",
       "GarageCars      0.640409\n",
       "GarageArea      0.623431\n",
       "TotalBsmtSF     0.613581\n",
       "1stFlrSF        0.605852\n",
       "FullBath        0.560664\n",
       "TotRmsAbvGrd    0.533723\n",
       "YearBuilt       0.522897\n",
       "YearRemodAdd    0.507101\n",
       "GarageYrBlt     0.486362\n",
       "MasVnrArea      0.477493\n",
       "Fireplaces      0.466929\n",
       "BsmtFinSF1      0.386420\n",
       "LotFrontage     0.351799\n",
       "WoodDeckSF      0.324413\n",
       "2ndFlrSF        0.319334\n",
       "OpenPorchSF     0.315856\n",
       "HalfBath        0.284108\n",
       "Name: SalePrice, dtype: float64"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#查看所有属性与SalePrice 的相关性\n",
    "cm = train.corr()[\"SalePrice\"].sort_values(ascending=False)\n",
    "cm.head(20)# 查看前20个与Sale相关的属性超过0.5 我们就判定它是先关的"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "结果和我们上面分析的差不多"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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KK/T3GQVBEJRHZME1RtIJwGbA6ySTuOMlrQfMAdYonHpTIfgAfKmwbrQyMB5YHri6Ztct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\nLLklvQo8QBpFvD0/Jx+/zXY75n83k37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JF9re3PY89qeB3kLl+bdEx9X8D3dAFqAZrBxu\nfQq4k8jQEhHp8hrwiO2RFqc3rnFSFjYDxxG7npbafmvI8ZsqbE2N+ylwke3fyvMjgA9HlyX7oCRj\n3EzsIFtv+6uSYvAwcPRUEz2aVArOkoGXnht8bnvtvz7UQ7kEN7M9Q+RbnWR7N4zFmTxbHve3OLeJ\nLCXupYyaTeywO4IonFMqQOMUtvfZV9g2AVMqFE2NO/griLyyUSNMU95eh7xMtHbYCiwvGzEuAx4a\n9gtJgz4AFkzw3PwzSaS3sgDNbNcRzcXGLnMd/VTuIZK2ayxATaUsNFLYmhpX0iG2/wReBz4qN+Ah\nGqetmOJcu+pC4GxHC5DDgZ+BU2zvanleE7J9u6Jn1g22V0/6gZ7Kbdgzm8dbcy43yWtde20qZWHc\nwlaic4YpbE2NuwXA9jLgbmAPEdO02PazQ4zbRX+Uf7PY3gt8XXPxGVXmvGTSH+yxvAKa2b6UtMj2\nysEXJd1GXAHVaLOkuyZIWdgyxLhNFbamxh1bZrO9lVh+6qt5kkYPPItyNop9PYZqDmddL2kJsfN0\nMKKpc+eZmpCbEGYwSScAbxPfnLcTVz3zibMIN9r+vsXpjauplIWm4oMaHPc7DtBquk/beSWdfKD3\nbX9zsObyfyl6Fu2v6viggykLUA9IupzIohLwhe13W57SpAbmDDHn9w708/9hvKYKW1Pj7iIOMo67\n4cB2U2Gt1cpcvJknC1DqlekubE2NO14GXN91NRdP0jwiwWGspbrtN9qbUT2yAKVUof0PMvZZWc5c\nDJwGfD3w1hxgW+Xp648CVxGN9NYDVxMbVW5qdWKVyAKUUoUkHVO2n/del3PxJH0GnAvssH2OpOOB\nlzx8n6gZIbdhp1ShLD772P7V9k7bC4gNNFeWx3Q1P2zS3rId+09Jc4AfiEO1iSxAKaWOKLl4q4AT\ny2OVpHvbndWkPpZ0FPAqsI04SrDjwB/pj1yCSyl1Qtdz8SSdAhxpOwtQkVdAKaWu6GQunqRbJT1S\ngml/knR+23OqRSYhpJSq1uVcPEnPA4cClwJPEmkILxIHwnsvl+BSSlUbPP8jaT5wCXHls6HEFFVr\ndO6D2+q7cHbpYMkroJRS7bqcizdS+hkZQNJc4K92p1SPLEAppdodK+nBid6sPBfvBWA18Wd4HFgI\n9C5GaSJZgFJKtZtF9FeqfsPBKEnrgHttr5S0nWjXLmCB7c/bnV098h5QSqlqXczFk7QQeILYJLHM\n9sgkH+mlLEAppap1NRevdPB9DLiG2ME3du+n8mXDgyaX4FJKtbui7QlM0Qix7Xo2EZyamw/2kwUo\npVS1LubiSbqGaCi4FjjP9p6Wp1SlXIJLKaVpJmkjsNj2F23PpWZZgFJKKbUis+BSSim1IgtQSiml\nVmQBSiml1IosQCmllFqRBSillFIr/gYLIHuu5/f3mAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xce563c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#查看超过0.5的相关属性的热点图\n",
    "cm=train[[\"SalePrice\",\"OverallQual\",\"GrLivArea\",\"GarageCars\",\n",
    "                  \"GarageArea\",\"GarageYrBlt\",\"TotalBsmtSF\",\"1stFlrSF\",\"FullBath\",\n",
    "                  \"TotRmsAbvGrd\",\"YearBuilt\",\"YearRemodAdd\"]].corr()\n",
    "plt.subplots(figsize=(6, 4))\n",
    "sns.heatmap(cm, vmax=1, square=False);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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lMc/lW9j5re6xrC3snK/fbT7Fbyqfp9Ct1edcmj8NTRVp5c+VKsT8m8pnyUUML5crF5cr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\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pGkAaA7GZDRiX6VMDwIlhv2yfHFC+Tsj1rRMJQTZGQPnaJcYOIGMfAoBnOlzwvsre/3OR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SawVxlkj7FX6nMGH13NFn74xhVGpxa5v83C6NQiP3zjCl1Nlpv9qCVuA4Kg4PzV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\nS/zkRB+/uLtONjtkd2sFbx3vW5DVqc7o5Jn0IgkplYG5oV5+7i7XG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YCXPiavEycIKixz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\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jXhkYAHWyhg4PN9Y08kP6uEHlV24a4UO4LtjHEcE+jq3OWdecLiPZdHlNexbEoFsIuE2X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\nCiQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xd0c5a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 查看几个相关性最强的分布图\n",
    "sns.set()\n",
    "cols = ['SalePrice', 'OverallQual', 'GrLivArea', 'GarageCars', 'TotalBsmtSF', 'FullBath', 'YearBuilt']\n",
    "sns.pairplot(train[cols], size = 2.5)\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 经过分析之后去除离心点"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train = train.drop(train[(train['GrLivArea']>4000) & (train['SalePrice']<300000)].index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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YQGpy0oi+T6xM00+0nN+elk9jSzdvfHqAq2aNZVSGNSTft598jsIvaCF3uVzY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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xf410780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "train['SalePrice'] = np.log(train['SalePrice'])# 对Saleprice 进行log处理 让它更符合正态分布\n",
    "sns.distplot(train['SalePrice']);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 处理缺失值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "PoolQC          1452\n",
       "MiscFeature     1404\n",
       "Alley           1367\n",
       "Fence           1177\n",
       "FireplaceQu      690\n",
       "LotFrontage      259\n",
       "GarageCond        81\n",
       "GarageType        81\n",
       "GarageYrBlt       81\n",
       "GarageFinish      81\n",
       "GarageQual        81\n",
       "BsmtExposure      38\n",
       "BsmtFinType2      38\n",
       "BsmtFinType1      37\n",
       "BsmtCond          37\n",
       "BsmtQual          37\n",
       "MasVnrArea         8\n",
       "MasVnrType         8\n",
       "Electrical         1\n",
       "Utilities          0\n",
       "dtype: int64"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 查看缺失值的数量\n",
    "total = train.isnull().sum().sort_values(ascending=False)\n",
    "total.head(20)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "一般来说数据缺失量达到15%以上就可以考虑将该属性删除了，因为它很可能就是无关属性!当然具体还得根据具体含义来决定 PoolQC、MiscFeature、Alley、Fence 缺失量巨大，而且可以在其他属性中找到替代比如泳池面积，或者它根本不会影响房价所以决定删除"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "train = train.drop(['MiscFeature','Alley','Fence','PoolQC'],axis = 1)\n",
    "test = test.drop(['MiscFeature','Alley','Fence','PoolQC'],axis = 1)\n",
    "# all_data = all_data.drop(['MiscFeature','Alley','Fence','PoolQC'],axis = 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#对缺失值进行填补\n",
    "train = train.fillna(train.mean())\n",
    "test = test.fillna(test.mean())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "有些属性经过观察以及对他的含义进行分析之后我们可以对他的属性进行合并来减少干扰项"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>LivArea_Total</th>\n",
       "      <th>GrLivArea</th>\n",
       "      <th>GarageArea</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2258</td>\n",
       "      <td>1710</td>\n",
       "      <td>548</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1722</td>\n",
       "      <td>1262</td>\n",
       "      <td>460</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2394</td>\n",
       "      <td>1786</td>\n",
       "      <td>608</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2359</td>\n",
       "      <td>1717</td>\n",
       "      <td>642</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>3034</td>\n",
       "      <td>2198</td>\n",
       "      <td>836</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   LivArea_Total  GrLivArea  GarageArea\n",
       "0           2258       1710         548\n",
       "1           1722       1262         460\n",
       "2           2394       1786         608\n",
       "3           2359       1717         642\n",
       "4           3034       2198         836"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#合并属性\n",
    "train['LivArea_Total'] = train['GrLivArea'] + train['GarageArea']  \n",
    "test['LivArea_Total'] = test['GrLivArea'] + test['GarageArea']\n",
    "train[['LivArea_Total','GrLivArea','GarageArea']].head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>FlrSF_Total</th>\n",
       "      <th>1stFlrSF</th>\n",
       "      <th>2ndFlrSF</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1712</td>\n",
       "      <td>856</td>\n",
       "      <td>854</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2524</td>\n",
       "      <td>1262</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1840</td>\n",
       "      <td>920</td>\n",
       "      <td>866</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1717</td>\n",
       "      <td>961</td>\n",
       "      <td>756</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2290</td>\n",
       "      <td>1145</td>\n",
       "      <td>1053</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   FlrSF_Total  1stFlrSF  2ndFlrSF\n",
       "0         1712       856       854\n",
       "1         2524      1262         0\n",
       "2         1840       920       866\n",
       "3         1717       961       756\n",
       "4         2290      1145      1053"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train['FlrSF_Total'] = train['1stFlrSF']  + train['TotalBsmtSF']\n",
    "test['FlrSF_Total'] = test['1stFlrSF'] + test['TotalBsmtSF']\n",
    "train[['FlrSF_Total','1stFlrSF','2ndFlrSF']].head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1458, 278)"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "使用哑编码的方式将定性特征转换为定量特征"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Id</th>\n",
       "      <th>MSSubClass</th>\n",
       "      <th>LotFrontage</th>\n",
       "      <th>LotArea</th>\n",
       "      <th>OverallQual</th>\n",
       "      <th>OverallCond</th>\n",
       "      <th>YearBuilt</th>\n",
       "      <th>YearRemodAdd</th>\n",
       "      <th>MasVnrArea</th>\n",
       "      <th>BsmtFinSF1</th>\n",
       "      <th>...</th>\n",
       "      <th>SaleType_ConLw</th>\n",
       "      <th>SaleType_New</th>\n",
       "      <th>SaleType_Oth</th>\n",
       "      <th>SaleType_WD</th>\n",
       "      <th>SaleCondition_Abnorml</th>\n",
       "      <th>SaleCondition_AdjLand</th>\n",
       "      <th>SaleCondition_Alloca</th>\n",
       "      <th>SaleCondition_Family</th>\n",
       "      <th>SaleCondition_Normal</th>\n",
       "      <th>SaleCondition_Partial</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>60</td>\n",
       "      <td>65.0</td>\n",
       "      <td>8450</td>\n",
       "      <td>7</td>\n",
       "      <td>5</td>\n",
       "      <td>2003</td>\n",
       "      <td>2003</td>\n",
       "      <td>196.0</td>\n",
       "      <td>706</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>20</td>\n",
       "      <td>80.0</td>\n",
       "      <td>9600</td>\n",
       "      <td>6</td>\n",
       "      <td>8</td>\n",
       "      <td>1976</td>\n",
       "      <td>1976</td>\n",
       "      <td>0.0</td>\n",
       "      <td>978</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>60</td>\n",
       "      <td>68.0</td>\n",
       "      <td>11250</td>\n",
       "      <td>7</td>\n",
       "      <td>5</td>\n",
       "      <td>2001</td>\n",
       "      <td>2002</td>\n",
       "      <td>162.0</td>\n",
       "      <td>486</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>70</td>\n",
       "      <td>60.0</td>\n",
       "      <td>9550</td>\n",
       "      <td>7</td>\n",
       "      <td>5</td>\n",
       "      <td>1915</td>\n",
       "      <td>1970</td>\n",
       "      <td>0.0</td>\n",
       "      <td>216</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>60</td>\n",
       "      <td>84.0</td>\n",
       "      <td>14260</td>\n",
       "      <td>8</td>\n",
       "      <td>5</td>\n",
       "      <td>2000</td>\n",
       "      <td>2000</td>\n",
       "      <td>350.0</td>\n",
       "      <td>655</td>\n",
       "      <td>...</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 278 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "   Id  MSSubClass  LotFrontage  LotArea  OverallQual  OverallCond  YearBuilt  \\\n",
       "0   1          60         65.0     8450            7            5       2003   \n",
       "1   2          20         80.0     9600            6            8       1976   \n",
       "2   3          60         68.0    11250            7            5       2001   \n",
       "3   4          70         60.0     9550            7            5       1915   \n",
       "4   5          60         84.0    14260            8            5       2000   \n",
       "\n",
       "   YearRemodAdd  MasVnrArea  BsmtFinSF1          ...            \\\n",
       "0          2003       196.0         706          ...             \n",
       "1          1976         0.0         978          ...             \n",
       "2          2002       162.0         486          ...             \n",
       "3          1970         0.0         216          ...             \n",
       "4          2000       350.0         655          ...             \n",
       "\n",
       "   SaleType_ConLw  SaleType_New  SaleType_Oth  SaleType_WD  \\\n",
       "0               0             0             0            1   \n",
       "1               0             0             0            1   \n",
       "2               0             0             0            1   \n",
       "3               0             0             0            1   \n",
       "4               0             0             0            1   \n",
       "\n",
       "   SaleCondition_Abnorml  SaleCondition_AdjLand  SaleCondition_Alloca  \\\n",
       "0                      0                      0                     0   \n",
       "1                      0                      0                     0   \n",
       "2                      0                      0                     0   \n",
       "3                      1                      0                     0   \n",
       "4                      0                      0                     0   \n",
       "\n",
       "   SaleCondition_Family  SaleCondition_Normal  SaleCondition_Partial  \n",
       "0                     0                     1                      0  \n",
       "1                     0                     1                      0  \n",
       "2                     0                     1                      0  \n",
       "3                     0                     0                      0  \n",
       "4                     0                     1                      0  \n",
       "\n",
       "[5 rows x 278 columns]"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train = pd.get_dummies(train)\n",
    "test = pd.get_dummies(test)\n",
    "train.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# all_data = pd.get_dummies(all_data)\n",
    "# all_data = all_data.fillna(all_data.mean())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 确定模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "\n",
    "X = train.drop(['SalePrice',\"Id\"], axis = 1)\n",
    "y = train['SalePrice']\n",
    "\n",
    "from sklearn.model_selection import train_test_split\n",
    "X_train, X_test, y_train, y_test = train_test_split(X,y, test_size = .2,random_state = 101)\n",
    "\n",
    "# # 分别初始化对特征和目标值的标准化器\n",
    "# ss_X = StandardScaler()\n",
    "# ss_y = StandardScaler()\n",
    "\n",
    "# # 分别对训练和测试数据的特征以及目标值进行标准化处理\n",
    "# X_train = ss_X.fit_transform(X_train)\n",
    "# X_test = ss_X.transform(X_test)\n",
    "\n",
    "# y_train = ss_y.fit_transform(y_train.reshape(-1, 1))\n",
    "# y_test = ss_y.transform(y_test.reshape(-1, 1))\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 缺省参数的线性回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
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       "         4.50698158e-02,  -2.43472553e-03,  -1.61158564e-02,\n",
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       "        -3.39702971e-02,   2.60208521e-18,   9.94823004e-02,\n",
       "        -2.07770424e-02,  -6.06146833e-03,   8.07344330e-03,\n",
       "        -1.42568848e-02,   1.42595626e-02,  -9.03691559e-02,\n",
       "         1.69800989e-02,   1.03617503e-02,   5.57619092e-03,\n",
       "         7.92814289e-02,   1.82733733e-02,   1.34929063e-02,\n",
       "         2.00903524e-02,   6.52042773e-03,   3.95693292e-02,\n",
       "        -3.60493454e-02,  -7.81124883e-05,   2.18130814e-02,\n",
       "         1.48487336e-02,   3.95693292e-02,  -3.21289363e-02,\n",
       "         3.63516767e-02,   3.67992086e-03,  -7.36830398e-03,\n",
       "        -5.60103070e-03,  -3.13352490e-03,   8.73455560e-03,\n",
       "        -4.81354023e-02,   8.69983914e-03,   4.23326979e-02,\n",
       "         7.40154704e-02,  -3.97252230e-02,  -8.54348440e-03,\n",
       "         2.95328307e-02,   7.19260442e-03,  -6.53693329e-02,\n",
       "        -5.43193323e-02,   3.62499211e-02,   7.28576922e-03,\n",
       "         1.04662971e-02,   2.22478304e-02,  -2.19304855e-02])"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "# 线性回归\n",
    "#class sklearn.linear_model.LinearRegression(fit_intercept=True, normalize=False, copy_X=True, n_jobs=1)\n",
    "from sklearn.linear_model import LinearRegression\n",
    "\n",
    "# 使用默认配置初始化\n",
    "lr = LinearRegression()\n",
    "\n",
    "# 训练模型参数\n",
    "lr.fit(X_train, y_train)\n",
    "\n",
    "# 预测，下面计算score会自动调用predict\n",
    "lr_y_predict_train = lr.predict(X_train)\n",
    "lr_y_predict = lr.predict(X_test)\n",
    "\n",
    "\n",
    "#显示特征的回归系数\n",
    "lr.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The value of default measurement of LinearRegression on test is 0.880081730201\n",
      "The value of default measurement of LinearRegression on train is 0.954123940329\n"
     ]
    }
   ],
   "source": [
    "# 使用LinearRegression模型自带的评估模块（r2_score），并输出评估结果\n",
    "\n",
    "#测试集\n",
    "print ('The value of default measurement of LinearRegression on test is', lr.score(X_test, y_test))\n",
    "\n",
    "#训练集\n",
    "print ('The value of default measurement of LinearRegression on train is', lr.score(X_train, y_train))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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XZGZml3qfdnuwMjKy3CkX16CXnlPZe+lw+Hu7BBebLUAOR463yygkIyPX2yWU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\nTpFj9wAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xce9b710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#在训练集上观察预测残差的分布，看是否符合模型假设：噪声为0均值的高斯噪声\n",
    "f, ax = plt.subplots(figsize=(7, 5)) \n",
    "f.tight_layout() \n",
    "ax.hist(y_train - lr_y_predict_train,bins=40, label='Residuals Linear', color='b', alpha=.5); \n",
    "ax.set_title(\"Histogram of Residuals\") \n",
    "ax.legend(loc='best');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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yB6NHj8bLL79s7Bw4d+5crFu3DqmpqRCJRMjKynKotzHhXVgryWhKq1qLnOPlOHPFfSH1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\nAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0xd0da470>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#还可以观察预测值与真值的散点图\n",
    "plt.figure(figsize=(4, 3))\n",
    "plt.scatter(y_train, lr_y_predict_train)\n",
    "\n",
    "plt.axis('tight')\n",
    "plt.xlabel('True price')\n",
    "plt.ylabel('Predicted price')\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Lasso 模型"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Anaconda\\envs\\python3\\lib\\site-packages\\sklearn\\linear_model\\coordinate_descent.py:491: ConvergenceWarning: Objective did not converge. You might want to increase the number of iterations. Fitting data with very small alpha may cause precision problems.\n",
      "  ConvergenceWarning)\n",
      "C:\\Anaconda\\envs\\python3\\lib\\site-packages\\sklearn\\linear_model\\coordinate_descent.py:491: ConvergenceWarning: Objective did not converge. You might want to increase the number of iterations. Fitting data with very small alpha may cause precision problems.\n",
      "  ConvergenceWarning)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "LassoCV(alphas=[0.01, 0.1, 1, 10, 100], copy_X=True, cv=None, eps=0.001,\n",
       "    fit_intercept=True, max_iter=1000, n_alphas=100, n_jobs=1,\n",
       "    normalize=False, positive=False, precompute='auto', random_state=None,\n",
       "    selection='cyclic', tol=0.0001, verbose=False)"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from sklearn.linear_model import LassoCV\n",
    "from sklearn.model_selection import cross_val_score\n",
    "\n",
    "alphas = [0.01, 0.1, 1, 10,100]\n",
    "\n",
    "lasso = LassoCV(alphas=alphas)   \n",
    "lasso.fit(X_train, y_train)  \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The value of default measurement of Lasso Regression on test is 0.894893451857\n",
      "The value of default measurement of Lasso Regression on train is 0.942877719674\n"
     ]
    }
   ],
   "source": [
    "# 使用LinearRegression模型自带的评估模块（r2_score），并输出评估结果\n",
    "print ('The value of default measurement of Lasso Regression on test is', lasso.score(X_test, y_test))\n",
    "print ('The value of default measurement of Lasso Regression on train is', lasso.score(X_train, y_train))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 岭回归／L2正则"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "RidgeCV(alphas=[0.01, 0.1, 1, 10, 20, 40, 80, 100], cv=None,\n",
       "    fit_intercept=True, gcv_mode=None, normalize=False, scoring=None,\n",
       "    store_cv_values=True)"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#岭回归／L2正则\n",
    "#class sklearn.linear_model.RidgeCV(alphas=(0.1, 1.0, 10.0), fit_intercept=True, \n",
    "#                                  normalize=False, scoring=None, cv=None, gcv_mode=None, \n",
    "#                                  store_cv_values=False)\n",
    "from sklearn.linear_model import  RidgeCV\n",
    "\n",
    "alphas = [0.01, 0.1, 1, 10,20, 40, 80,100]\n",
    "reg = RidgeCV(alphas=alphas, store_cv_values=True)   \n",
    "reg.fit(X_train, y_train)     "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The value of default measurement of RidgeCV is 0.889649226089\n",
      "The value of default measurement of RidgeCV is 0.944206061184\n"
     ]
    }
   ],
   "source": [
    "# 使用LinearRegression模型自带的评估模块（r2_score），并输出评估结果\n",
    "print ('The value of default measurement of RidgeCV is', reg.score(X_test, y_test))\n",
    "print ('The value of default measurement of RidgeCV is', reg.score(X_train, y_train))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 输出数据"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " ## 比较模型之后选择岭回归"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Data Shapes\n",
      "x_train shape (1458, 9)\n",
      "y_train shape (1458,)\n",
      "x_test shape (1459, 9)\n"
     ]
    }
   ],
   "source": [
    "train = train.fillna(train.mean())\n",
    "test = test.fillna(test.mean())\n",
    "\n",
    "# 选择相关性最强的几个属性\n",
    "X_train2 = train[[\"OverallQual\",\"LivArea_Total\",\n",
    "                  \"GarageArea\",\"GarageYrBlt\",\"FlrSF_Total\",\"FullBath\",\n",
    "                  \"TotRmsAbvGrd\",\"YearBuilt\",\"YearRemodAdd\"]]\n",
    "\n",
    "y_train2 = train['SalePrice']\n",
    "\n",
    "X_test2 = test[[\"OverallQual\",\"LivArea_Total\",\n",
    "                  \"GarageArea\",\"GarageYrBlt\",\"FlrSF_Total\",\"FullBath\",\n",
    "                  \"TotRmsAbvGrd\",\"YearBuilt\",\"YearRemodAdd\"]]\n",
    "\n",
    "print('Data Shapes')\n",
    "print('x_train shape', X_train2.shape)\n",
    "print('y_train shape',y_train2.shape)\n",
    "print('x_test shape', X_test2.shape)\n",
    "\n",
    "reg.fit(X_train2,y_train2)\n",
    "\n",
    "y_pred_rforest2 = reg.predict(X_test2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "\n",
    "\n",
    "submission = pd.DataFrame({\n",
    "        \"Id\": test[\"Id\"],\n",
    "        \"SalePrice\": y_pred_rforest2\n",
    "    })\n",
    "submission.SalePrice = np.exp(submission.SalePrice)\n",
    "submission.to_csv('HousePrices.csv', index=False)"
   ]
  }
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